Minimal entropy and simplicial volume

Manuscripta Mathematica

Volumn 99, Issue 4, 1999, Pages 541-560

  Sambusetti, Andrea ^a  

^a INSTITUT FOURIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033409260     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002290050190     Document Type: Article

References (21)

1. Babenko, I.K.: Asymptotic invariants of smooth manifolds. Russian Acad. Sci. Izv. Math. 41 no. 1, 1-38 (1993)
2. Besse, A.L.: Einstein manifolds. Ergebnisse der Math. Berlin-New York: Springer-Verlag, 1987
3. Bessières, L.: Un théorème de rigidité différentielle. Prépublication de l'Université Paul Sabatier (1996)
4. Besson, G., Courtois, G., Gallot, S.: Entropie et rigidité des espaces localement symétriques de courbure strictement négative. G. A. F. A. 5, 731-799 (1995)
5. Besson, G., Courtois, G., Gallot, S. Volume et entropie minimale des espaces localement symétriques. Invent. Math. 103, 417-445 (1991)
6. Besson, G., Courtois, G., Gallot, S. Lemme de Schwarz réel et applications géométriques. Prépublication N. 98-7 de l'École Polytechnique (Palaiseau)
7. Cheeger, J., Ebin, D.G.: Comparison theorems in Riemannian geometry. Amsterdam-Oxford: North Holland Math. Library Vol. 9, 1975
8. Cheeger, J., Gromov, M.: Collapsing Riemannian manifolds while keeping their curvature bounded I-II. J. Diff. Geom. 23-32, 309-346 and 269-298 (1986-1990)
9. Dinaburg, E.I.: A connection between various entropy characterizations of dynamical systems. Math. USSR Izv. 5, 337-378 (1971)
10. Eymard, P.: Initiation à la théorie des groupes moyennable. In: Analyse harmonique sur les groupes de Lie, Lecture Notes in Mathematics 497, Berlin: Springer-Verlag, 1975, pp. 89-107
11. Grigorchuk, R., De la Harpe, P.: On finitely generated groups and problems related to growth. Prépublication de l'Université de Genève (1996)
12. Gromov, M.: Volume and bounded cohomology. Publ. Math. Inst. Hautes Étud. Sci. 56, 213-307 (1981)
13. Gromov, M.: Structures métriques pour les variétés Riemanniennes, Paris: Cedic/Fernand Nathan, (1981)
14. Hamenstädt, U.: Entropy rigidity of locally symmetric spaces of negative curvature. Ann. of Math. 131 no. 1, 35-51 (1990)
15. Katok, A.: Four applications of conformal equivalence to geometry and dynamics. Ergodic Theory Dyn. Sys. 8, 139-152 (1988)
16. Manning, A.: Topological entropy for geodesic flows. Ann.Math. 110, 567-573 (1979)
17. Munkolm, H.J.: Simplices of maximal volume in hyperbolic space, Gromov's norm and Gromov's proof of Mostow's rigidity theorem (following Thurston). Top. Symp. Siegen 1979, Lectures Notes in Mathematics 788, Berlin: Springer-Verlag, 1980, pp. 109-124
18. Robert, G.: Invariants topologiques et géométriques reliés aux longuers des géodésiques et aux sections harmoniques de fibrés. Thèse de doctorat de Mathématiques de l'Université Joseph Fourier (1994)
19. Sambusetti, A.: An obstruction to the existence of Einstein metrics on 4-manifolds. Math. Ann. 311, 533-548 (1998)
20. Sambusetti, A.: On minimal entropy and stability. To appear
21. Zieschang, H., Vogt, E., Coldewey, H.D.: Surfaces and planar discontinuous groups. Lectures Notes in Mathematics 835, Berlin: Springer-Verlag, 1980