Structure of manifolds of nonpositive sectional curvature
作者： Werner Ballmann
DOI: 10.1007/BFB0075644
关键词: Symmetric space 、 Mathematics 、 Mathematical analysis 、 Topological entropy 、 Fundamental group 、 Structure (category theory) 、 Geodesic flow 、 Sectional curvature
摘要:
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sci-hub.se 参考文章(26)
John D. Dixon, Free subgroups of linear groups Conference on Group Theory. pp. 45- 56 ,(1973) , 10.1007/BFB0058928
Marcel Berger, Sur les groupes d'holonomie homogènes de variétés à connexion affine et des variétés riemanniennes Bulletin de la Société mathématique de France. ,vol. 79, pp. 279- 330 ,(1955) , 10.24033/BSMF.1464
Werner Ballmann, Patrick Eberlein, Fundamental groups of manifolds of nonpositive curvature Journal of Differential Geometry. ,vol. 25, pp. 1- 22 ,(1987) , 10.4310/JDG/1214440722
Patrick Eberlein, When is a geodesic flow of Anosov type? II Journal of Differential Geometry. ,vol. 8, pp. 565- 577 ,(1973) , 10.4310/JDG/1214431959
Ya. B. Pesin, Equations for the entropy of a geodesic flow on a compact Riemannian manifold without conjugate points Mathematical Notes. ,vol. 24, pp. 796- 805 ,(1978) , 10.1007/BF01099169
R. Osserman, P. Sarnak, A new curvature invariant and entropy of geodesic flows Inventiones Mathematicae. ,vol. 77, pp. 455- 462 ,(1984) , 10.1007/BF01388833
Gopal Prasad, M. S. Raghunathan, Cartan Subgroups and Lattices in Semi-Simple Groups The Annals of Mathematics. ,vol. 96, pp. 296- ,(1972) , 10.2307/1970790
Ya B Pesin, CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY Russian Mathematical Surveys. ,vol. 32, pp. 55- 114 ,(1977) , 10.1070/RM1977V032N04ABEH001639
Werner Ballmann, Nonpositively curved manifolds of higher rank Annals of Mathematics. ,vol. 122, pp. 597- 609 ,(1985) , 10.2307/1971331
E I Dinaburg, ON THE RELATIONS AMONG VARIOUS ENTROPY CHARACTERISTICS OF DYNAMICAL SYSTEMS Mathematics of The Ussr-izvestiya. ,vol. 5, pp. 337- 378 ,(1971) , 10.1070/IM1971V005N02ABEH001050