几何常用参考文献的 bibtex 代码
@BOOK{Bott-Tu1982B,
author= {R.~Bott and L.~W.~Tu},
title= {Differential Forms in Algebraic Topology},
publisher= {Springer-Verlag},
series = {GTM},
volume = {82},
year= {1982},
address= {},
month= {},
}
%----------------------------------------------------------------------
@BOOK{Cheeger-Ebin1975B,
author={J. Cheeger and D. Ebin},
title={Comparison Theorem in Riemannian Geometry},
publisher={North-Holland Publishing Company},
address={},
year={1975},
}
% ------------------------------------------------------------------------
@ARTICLE{Fukaya1990,
author={K. Fukaya},
title={Hausdorff convergence of Riemannian manifolds and its applications},
journal={Recent topics in differential and analytic geometry, Adv. Stud. Pure Math.},
volume={18-I},
year={1990},
pages={143-238},
}
@ARTICLE{Hirsch-Thurston1975,
AUTHOR = {M. W. Hirsch and W. P. Thurston},
TITLE = {Foliated bundles, invariant
measures and flat manifolds.},
JOURNAL = {Ann. Math.},
YEAR = {1975},
volume = {101},
number = {3},
pages = {369-390},
}
@ARTICLE{Manning1981,
author={A. Manning},
title={More topological entropy for geodesic flows},
journal={in Dynamical Systems and Turbulence, Warwick 1980, D. Rand and L. S. Young eds,
Springer, LNM},
volume={898},
number={},
pages={243-249},
year={1981},
}
@ARTICLE{Mane1997,
author={R. Mane},
title={On the topological entropy of geodesic flows},
journal={J. Diff. Geom.},
volume={45},
number={},
pages={74-93},
year={1997},
}
@ARTICLE{Newhouse1989,
AUTHOR = {S. Newhouse},
TITLE = {Continuity properties of entropy},
JOURNAL = {Ann. Math.},
YEAR = {1989},
volume = {129},
pages = {215-235},
}
@ARTICLE{Paternain-Petean2000A,
AUTHOR = {G. P. Paternain and J. Petean},
TITLE = {Einstein metrics of non-negative sectional curvature and entropy},
JOURNAL = {Math. Res. Lett.},
YEAR = {2000},
volume = {7},
pages = {503-516},
}
@BOOK{Thurston1978B,
author= {W.~Thurston},
title= {Geometry and topology of 3-manifolds},
publisher= {Princeton},
note= {Lecture Notes},
year= {1978},
address= {},
month= {},
}
@ARTICLE{Ivanov1987,
AUTHOR = {Ivanov},
TITLE = {Foundations of the theory of bounded cohomology},
JOURNAL = {J. Sov. Math.},
YEAR = {1987},
volume = {37},
pages = {1090-1114},
}
@ARTICLE{Bavard-Pansu1986A,
author={C. Bavard and P. Pansu},
title={Sur le volume minimal de $\mathbb{R}^2$},
journal={Ann. Scient. de l\'\\'{E}.N.S.},
volume={19},
year={1986},
pages={479-490},
}
@ARTICLE{Bowditch1993A,
author={B. H. Bowditch},
title={The minimal volume of the plane},
journal={J. Austral. Math. Soc.},
volume={(Series A) 55},
year={1993},
pages={23-40},
}
@ARTICLE{Cheeger-Gromov1985,
author={J. Cheeger and M. Gromov},
title={On the Characteristic Numbers of Complete Manifolds of Bounded Curvature and Finite Volume},
journal={H. E. Rauch Memorial(Chavel and Farkas Eds)},
note={},
volume={I},
year={1985},
pages={115-154},
}
@ARTICLE{Gromov1982A,
author={M. Gromov},
title={Volume and Bounded Cohomology},
journal={Inst. Hautes \\'{E}tudes Sci. Publ. Math.},
volume={56},
year={1982},
pages={5-99},
}
@ARTICLE{Gromov1981A-SpringerLect.Notes,
author= {M. Gromov},
title= {Hyperbolic manifolds according to {T}hurston and {J}{\o}rgensen},
journal= {Springer Lect. Notes},
year= {1981},
month= {},
volume= {842},
number= {},
pages= {40-53},
}
@ARTICLE{Cheeger-Gromov1986A,
author={J. Cheeger and M. Gromov},
title={Collapsing Riemannian manifolds while keeping their curvature bounded},
journal={J. Differential Geom.},
volume={23},
year={1986},
pages={309-346},
}
@ARTICLE{Cheeger-Gromov1990,
author={J. Cheeger and M. Gromov},
title={Collapsing Riemannian manifolds while keeping their curvature bounded {II}},
journal={J. Differential Geom.},
volume={32},
year={1990},
pages={269-298},
}
@ARTICLE{Soma1981,
author={T. Soma},
title={The Gromov invariant of links},
journal={Invent. Math},
volume={64},
year={1981},
pages={445-454},
}
@ARTICLE{Buyalo1996,
author={S. V. Buyalo},
title={Three-manifolds with $Cr$-structure},
journal={Amer. Math. Soc. Transl.},
volume=176,
number=2,
year=1996,
pages="1-26",
}
@ARTICLE{Weinstein1973,
author={A. Weinstein},
title={Distance sphere in complex projective spaces},
journal={Proc. Amer. Math. Soc.},
volume=39,
number=,
year=1973,
pages="649-650",
}
% ------------------------------------------------------------------------
@BOOK{Buser1992B,
author={Peter Buser},
title={Geometry and Spectra of Compact Riemann Surfaces},
publisher={Birkh\"{a}user},
address={Boston},
year={1992},
}
@BOOK{Wall-B,
AUTHOR = {C. T. C. Wall},
editor = {with editorial comments by A. A. Ranicki},
TITLE = {Surgery on Compact Manifolds},
PUBLISHER = {American Math. Soc.},
YEAR = {1999},
number = {69},
series = {Mathematical Surveys and monographs},
edition = {Second},
}
@BOOK{Berger2002B,
author={M. Berger},
title={A Panoramic View of Riemannian Geometry},
publisher={Springer},
edition={},
address={Berlin Heidelberg New York Barcelona Hong Kong},
year={2002},
}
@BOOK{Chavel1993B,
author={Isaac Chavel},
title={Riemannian Geometry: A Modern Introduction},
publisher={Cambridge University Press},
address={},
year={1993},
}
@BOOK{Chern-Chen-Lam2006A,
author={S. S. Chern, and W. H. Chen, and K. S. Lam},
title={{L}ectures on {D}ifferential {G}eometry},
publisher={World Scientific},
address={},
year={2006},
}
%---------------------------------------------------------------------
@ARTICLE{Greene-Wu1982A,
author= {R.~E.~Greene and H.~Wu},
title= {Gap theorems for noncompact Riemannian manifolds},
journal= {Duke Math. J.},
year= {1982},
month= {},
volume= {49},
number= {},
pages= {731-756},
}
@ARTICLE{Mei-Wang-Xu2007A,
author={J. Mei, and H. Wang, and H. Xu},
title={An elementary proof of $\textrm{MinVol}(\mathbb{R}^n)=0$ for $n\geq 3$},
journal={preprint},
volume={},
year={},
pages={},
}
@ARTICLE{Str,
author= {Clara Strohm},
title= {The Proportionality Principle of Simplicial Volume},
journal= {arXiv:math.AT/0504106 v1},
year= {2005},
month= {Apr},
volume= {},
number= {},
pages= {831-876},
}
@ARTICLE{LS,
author= {J. Lafont, B. Schmidt},
title= {Simplicial Volume of Closed Locally Symmetric Spaces of Non-compact Type},
journal= {arXiv:math.DG/0504338},
year= {2005},
month= {Apr},
volume= {},
number= {},
pages= {},
}
@ARTICLE{Sch,
author= {J. Schultens},
title= {Heegaard Splittings of Graph Manifolds},
journal= {Geometry \& Topology},
year= {2004},
month= {June},
volume= {8},
number= {},
pages= {},
}
@ARTICLE{DE,
author= {E. Douady, C. Earle},
title= {Conformally Natural Extension of Homeomorphisms of the Circle},
journal= {Acta Math.},
year= {1986},
month= {},
volume= {157},
number= {},
pages= {23-48},
}
@ARTICLE{DR,
author= {E. Damek, F. Ricci},
title= {A Class of Non-symmetric Harmonic Riemannian Spaces},
journal= {Bull. Amer. Math Soc.},
year= {1992},
month= {},
volume= {27},
number= {},
pages= {139-142},
}
@ARTICLE{Yano,
author= {K. Yano},
title= {Gromov invariant and S1-actions},
journal= {J. Fac. Sci. Univ. Tokyo Sect. IA Math.},
year= {1982},
month= {},
volume= {29},
number= {3},
pages= {493-501},
}
@ARTICLE{BCG1,
author= {G. Besson, G. Courtois, and S. Gallot},
title= {Entropies et rigidit\\'{e}s des espaces localement
sym\\'{e}triques de courbure strictement n\\'{e}gative},
journal= {Geom. Funct. Anal.},
year= {1995},
volume= {5},
pages= {731-799},
}
@ARTICLE{BCG,
author= {G. Besson, G. Courtois, and S. Gallot},
title= {Minimal entropy and Mostow’s rigidity theorems},
journal= {Ergodic Theory and Dynamical Systems},
year= {1996},
month= {},
volume= {16},
number= {4},
pages= {623-649},
}
@ARTICLE{Besson-Courtois-Gallot1998A,
author= {G. Besson, G. Courtois, and S. Gallot},
title= {A real Schwarz lemma and some applications},
journal= {Rendiconti di Matematica, Serie VII},
year= {1998},
volume= {18},
pages= {381-410},
}
@ARTICLE{HK,
author= {M. Hoster and D. Kotschick},
title= {On the simplicial volumes of fiber bundles},
journal= {Proc. Amer. Math. Soc.},
year= {2000},
month= {},
volume= {129},
number= {4},
pages= {1229-1232},
}
@ARTICLE{IY,
author= {H. Inoue and K. Yano},
title= {The Gromov invariant of negatively curved manifolds},
journal= {Topology},
year= {1982},
month= {},
volume= {21},
number= {},
pages= {83-89},
}
@ARTICLE{KL,
author= {M. Kapovich and B. Leeb},
title= {Actions of discrete groups on nonpositively curved spaces},
journal= {Mathe-matische Annalen},
year= {1996},
month= {},
volume= {306},
number= {},
pages= {341-352},
}
@ARTICLE{Kni,
author= {G. Knieper},
title= {On the asymptotic geometry of nonpositively curved manifolds},
journal= {Geom. Funct. Anal. (GAFA)},
year= {1997},
month= {},
volume= {7},
number= {},
pages= {755-782},
}
@ARTICLE{Milnor1958A,
author= {J. Milnor},
title= {On the existence of a connection with curvature zero},
journal= {Comment. Math. Helv.},
year= {1958},
month= {},
volume= {32},
number= {},
pages= {215-223},
}
@ARTICLE{Savage1982A,
author= {R. Savage},
title= {The space of positive definite matrices and Gromov’s invariant},
journal= {Trans. Amer. Math. Soc.},
year= {1982},
month= {},
volume= {274},
number= {1},
pages= {241-261},
}
@ARTICLE{Alb,
author= {P. Albuquerque},
title= {Patterson-Sullivan theory in higher rank symmetric spaces},
journal= {Geom. Funct. Anal. (GAFA)},
year= {1999},
month= {},
volume= {9},
number= {},
pages= {1-28},
}
@ARTICLE{Bro,
author= {R.~Brooks},
title= {Some remarks on bounded cohomology, in Riemannian surfaces and related topics},
journal= {Ann. Math. Studies},
year= {1981},
month= {},
volume= {91},
number= {},
pages= {53-65},
}
@ARTICLE{Chee,
author= {J.~Cheeger},
title= {Finiteness theorems for Riemannian manifolds},
journal= {Am. J. Math.},
year= {1970},
month= {},
volume= {92},
number= {},
pages= {61-75},
}
@ARTICLE{Gro3,
author= {M.~Gromov},
title= {Manifolds of negative curvature},
journal= {J. Diff. Geom.},
year= {1978},
month= {},
volume= {13},
number= {},
pages= {223-231},
}
@ARTICLE{Gro4,
author= {M.~Gromov},
title= {Hyperbolic manifolds, groups and actions, in Riemannian surfaces and related topics},
journal= {Ann. Math. Studies},
year= {1981},
month= {},
volume= {97},
number= {},
pages= {183-215},
}
@ARTICLE{Gro5,
author= {M.~Gromov},
title= {Groups of polynomial growth and expanding maps},
journal= {Publ. Math. I.H.E.S.},
year= {1981},
month= {},
volume= {53},
number= {},
pages= {53-78},
}
@ARTICLE{Gro6,
author= {M.~Gromov},
title= {Hyperbolic manifolds according to Thurston and J{\o}rgensen},
journal= {Springer Lect. Notes},
year= {1981},
month= {},
volume= {842},
number= {},
pages= {40-53},
}
@ARTICLE{GL,
author= {M.~Gromov, B.~Lawson},
title= {Spin and scalar curvature in the presence of a fundamental group},
journal= {Ann. of Math.},
year= {1980},
month= {},
volume= {111},
number= {},
pages= {209-231},
}
@ARTICLE{Ati,
author= {M.~Atiyah},
title= {Elliptic operators, discrete groups and von Neuman algebras},
journal= {Ast\\'{e}risque},
year= {1976},
month= {},
volume= {32-33},
number= {},
pages= {43-72},
}
@ARTICLE{Wei,
author= {A.~D.~Weinstein},
title= {The cut locus and conjugate locus of a Riemannian manifold},
journal= {Ann. of Math.},
year= {1968},
month= {},
volume= {87},
number= {},
pages= {29-41},
}
%---------------------------------------------------------------------
@BOOK{BC,
author= {R.~Bishop and R.~Crittenden},
title= {Geometry of manifolds},
publisher= {Acad. Press},
note= {},
year= {1964},
address= {New York},
month= {},
}
@BOOK{Hem,
author= {J.~Hempel},
title= {3-Manifolds},
publisher= {Princeton University Press and University of Tokyo Press},
note= {},
year= {1976},
address= {Princeton, New Jersey},
month= {},
}
@BOOK{Milnor-Stasheef1974B,
author= {J.~Milnor and J.~Stasheef},
title= {Characteristic Classes},
publisher= {Princeton University Press},
note= {},
year= {1974},
address= {},
month= {},
}
@ARTICLE{Milnor1965A,
author= {J. Milnor},
title= {On the structure of Hopf algebras},
journal= {Ann. of Math.},
year= {1965},
month= {},
volume= {81},
number= {},
pages= {211-264},
}
@BOOK{BK,
author= {P.~Buser, H.~Karcher},
title= {Gromov\'s almost flat manifolds},
publisher= {Ast\\'{e}risque},
note= {81},
year= {1981},
address= {},
month= {},
}
@BOOK{FK,
author= {H.~M.~Farkas, I.~Kra},
title= {Riemann Surfaces},
publisher= {Springer-Verlag},
series = {GTM},
volume = {71},
year= {1992},
address= {},
month= {},
}
@BOOK{Wil,
author= {T.~J.~Willmore},
title= {Total Curvature in Riemannian Geometry},
publisher= {Ellis Horwood Limited},
note= {},
year= {1982},
address= {England},
month= {},
}
@BOOK{You,
author= {尤承业},
title= {基础拓扑学讲义},
publisher= {北京大学出版社},
note= {},
year= {1997},
address= {},
month= {},
}
@BOOK{Boothby2003B,
AUTHOR = {William M. Boothby},
TITLE = {An Introduction to Differentiable Manifolds and Riemannian Geometry},
PUBLISHER = {Academic Press},
edition = {Second},
YEAR = {2003},
}
@BOOK{ChenWeihuan-LiXingjiao2002B,
author= {陈维桓,李兴校},
title= {黎曼几何引论},
publisher= {北京大学出版社},
year= {2002年},
}
@BOOK{Fen,
author= {W.~Fenchel},
title= {Elementary Geometry in Hyperbolic Space},
publisher= {Walter de Gruyter},
note= {},
year= {1989},
address= {Berlin, New York},
month= {},
}
@BOOK{Gro2,
author= {M. Gromov},
title= {Metric structures for Riemannian and non-Riemannian spaces},
publisher= {Birkhuser},
note= {Vol. 152 of Progress in Mathematics},
year= {1999},
address= {},
month= {},
}
@BOOK{BPB,
author= {R.~Benedetti, C.~Petronio},
title= {Lectures on Hyperbolic Geometry},
publisher= {Springer},
note= {Universitext},
year= {1993},
address= {},
month= {},
}
@BOOK{Bes,
author= {A.~L.~Besse},
title= {Manifolds All of Whose Geodesics are Closed},
publisher= {Springer},
note= {Ergebnisse der Math.},
year= {1978},
address= {},
month= {},
}
@BOOK{WuHongxi-ChenWeihuan1993B,
author= {伍鸿熙,陈维桓},
title= {黎曼几何选讲},
publisher= {北京大学出版社},
year= {1993年},
}
@BOOK{WuHongxi-ShenChunli-YuYanlin1989B,
author= {伍鸿熙,沈纯理,虞言林},
title= {黎曼几何初步},
publisher= {北京大学出版社},
year= {1989年},
}
@BOOK{WuHongxi-LvYinian-ChenZhihua1999B,
author= {伍鸿熙,吕以辇,陈志华},
title= {紧黎曼曲面引论},
publisher= {科学出版社},
year= {1999年},
}
@BOOK{CW,
author= {陈亚浙,吴兰成},
title= {二阶椭圆型方程与椭圆型方程组},
publisher= {科学出版社},
year= {2003年},
}
@BOOK{LiJinghui-FengXuning1999B,
author= {黎景辉,冯绪宁},
title= {拓扑群引论},
publisher= {科学出版社},
year= {1999年},
}
@BOOK{GKM,
author= {D.~Gromoll, and W.~Klingenberg, and W.~Meyer},
title= {Riemannsche Geometrie im Grossen},
publisher= {Springer Verlag},
note= {LNM 55},
year= {1968},
address= {Berlin},
month= {},
}
@BOOK{Kli,
author= {W. Klingenberg},
title= {A Course in Differential Geometry},
publisher= {Springer Verlag},
series = {GTM},
volume = {51},
year= {1978},
address= {Berlin},
month= {},
}
@BOOK{Thu,
author= {W. Thuston},
title= {Geometry and topology of 3-manifolds},
publisher= {Princeton},
note= {Lecture Notes},
year= {1978},
address= {},
month= {},
}
@BOOK{Hatcher2002B,
author= {Allen Hatcher},
title= {Algebraic Topology},
publisher= {Cambridge University Press},
note= {},
year= {2002},
address= {},
month= {},
}
@BOOK{Luck2002B,
author= {Wolfgang L\"{u}ck},
title= {$L^2$-Invariants: Theory and Applications to Geometry and K-Theory},
publisher= {Springer Verlag},
year= {2002},
series = {Ergebnisse der Mathematik und ihrer Grenzgebiete},
volume ={44},
}
@BOOK{Ratcliffe1994B,
author= {J. G. Ratcliffe},
title= {Foundations of Hyperbolic Manifolds},
publisher= {Springer},
series = {GTM},
volume = {149},
year= {1994},
address= {},
month= {},
}
@BOOK{Wells1980B,
author= {R. O. Wells},
title= {Differential Analysis on Complex Manifolds},
publisher= {Springer-Verlag},
series = {GTM},
volume = {65},
year= {1980},
}
@BOOK{Ballmann-Gromov-Schroeder1985B,
author= {W.~Ballmann, M.~Gromov, V.~Schroeder},
title= {Manfolds of Nonpositive Curvature},
publisher= {Birkh\"{a}user, Boston Inc.},
note= {},
year= {1985},
address= {},
month= {},
}
@PHDTHESIS{Kuessner2001P,
AUTHOR = {Thilo Kuessner},
TITLE = {Gromov Volume of Compact Manifolds},
SCHOOL = {Freien Universit\"{a}t Berlin},
YEAR = {2001},
}
@ARTICLE{Paternain-Petean2003A,
AUTHOR = {Gabriel P. Paternain and Jimmy Petean},
TITLE = {Minimal entropy and collapsing with curvature bounded from
below.},
JOURNAL = {Invent. Math.},
YEAR = {2003},
volume = {151},
number = {},
pages = {415-450},
}
@BOOK{Paternain1999B,
AUTHOR = {Gabriel P. Paternain},
TITLE = {Geodesic Flows},
PUBLISHER = {Birkh\"{a}user},
YEAR = {1999},
series = {Progress in Mathematics},
volume = {180},
}
@BOOK{WPZ2001B,
author= {Weiping Zhang},
title= {Lectures on Chen-Wei Theory and Witten Deformations},
publisher= {World Scientific},
volume = {4},
series = {Nankai Institute of Mathematics},
year= {2001},
address= {Singapore},
month= {},
}
@BOOK{Sakai1996B,
AUTHOR = {T. Sakai},
TITLE = {Riemannian Geometry},
PUBLISHER = {American Mathematical Soc.},
YEAR = {1996},
series = {Translations of the Amer. Math. Soc.},
volume = {149},
}
@ARTICLE{Berger-Bott1962A,
AUTHOR = {M. Berger and R. Bott},
TITLE = {Sur les vari\\'{e}t\\'{e}s \`{a} courbure strictement positive},
JOURNAL = {Topology},
YEAR = {1962},
volume = {1},
number = {},
pages = {302-311},
}
@BOOK{ECNU,
AUTHOR = {华东师范大学数学系},
TITLE = {数学分析},
PUBLISHER = {高等教育出版社},
YEAR = {1999年},
}
@BOOK{ChenZhaojiang1997B,
AUTHOR = {陈肇姜},
TITLE = {点集拓扑学题解与反例},
PUBLISHER = {南京大学出版社},
YEAR = {1997年},
}
@BOOK{Hasselblatt-Katok1995B,
AUTHOR = {B. Hasselblatt and A. Katok},
TITLE = {Introduction to the modern theory of dynamical systems},
series = {Encyclopedia of Mathematics and its Applications},
volume = {54},
PUBLISHER = {Cambridge University Press},
address= {Cambridge, UK},
YEAR = {1995},
}
@BOOK{Walters1982B,
AUTHOR = {P. Walters},
TITLE = {An introduction to ergodic theory},
series = {GTM},
volume = {79},
PUBLISHER = {Springer-Verlag},
address= {New York, Heidelberg, Berlin},
YEAR = {1982},
}
@BOOK{Hirzebruch1978B,
AUTHOR = {Friedrich Hirzebruch},
TITLE = {Topological Methods in Algebraic Geometry},
PUBLISHER = {Springer-Verlag},
address= {Berlin, Heidelberg, New York},
YEAR = {1978},
edition = {Third},
}
@BOOK{Robinson1982A,
AUTHOR = {Derek J. S. Robinson},
TITLE = {A Course in the Theory of Groups},
series = {Graduate {T}exts in {M}athematics},
volume = {80},
PUBLISHER = {Springer-Verlag},
address= {New York, Heidelberg, Berlin},
YEAR = {1982},
}