A fixed point theorem of discrete group actions on riemannian manifolds

Journal of Differential Geometry

Volumn 50, Issue 2, 1998, Pages 249-267

  Wang, Mu Tao ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038563968     PISSN: 0022040X     EISSN: 1945743X     Source Type: Journal    
DOI: 10.4310/jdg/1214461170     Document Type: Article

References (20)

1. W. Ballmann, M. Gromov & V. Schroeder, Manifolds of Nonpositive Curvature, Birkhaiiser, Basel, 1985.
2. 2-cohomology and property (T) for automor phism groups of polyhedral cell complexes, Geom. Funct. Anal. 7 (1997) 615-645.
3. K. Brown, Buildings, Springer, Berlin, 1989.
4. E. Calabi, & E. Vesentini, On compact, locally symmetric Kahler manifolds, Ann. Math. 71 (1960) 472-507.
5. K. Corlette, Flat G-bundles with canonical metrics, J. Differential Geom. 28 (1988) 361-382.
6. K. Corlette, Archimedean superrigidity and hyperbolic geometry, Ann. of Math. 135 (1992) 165-182.
7. W. Feit & G. Higman, The nonexistence of certain generalized polygons, J. Alg. 1 (1964) 114-131.
8. H. Garland, p-adic curvature and the cohomology of discrete subgroups of p-adic groups, Ann. of Math. 97 (1973) 375-423.
9. M. Gromov & R. Schoen, Harmonic maps into singular spaces and p-adic super rigidity for lattices in groups of rank one, Inst. Hautes Etudes Sci. Publ. Math. 76 (1992) 165-246.
10. T. Hattori, Geometry of quotient spaces of SO(3)\SL(3, R) by congruence subgroups, Math. Ann. 293 (1992) 443-467.
11. J. Jost & S-T. Yau, Harmonic maps and superrigidity, Proc. Sympos. Pure Math., Amer. Math. Soc., Vol. 54, Part I, 1993, 245-280.
12. G. A. Margulis, Discrete subgroups of semisimple Lie groups, Springer, Berlin, 1991.
13. Y. Matsushima, On the first Betti number of compact quotient spaces of higher dimensional symmetric spaces, Ann. of Math. 75 (1962) 312-330.
14. N. Mok, Y.T. Siu & S. K. Yeung, Geometric superrigidity, Invent. Math. 113 (1) (1993) 57-83.
15. P. Pansu, Formule de Matsushima, de Garland, et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles, Preprint, Orsay, 1996.
16. M. Wang, Fixed point theorems and property (T), Preprint, 1997.
17. M. Wang, On a generalization of the first eigenvalue of a graph, Preprint, 1998.
18. A. Weil, Discrete subgroups of Lie groups II, Ann. of Math. 75 (1962) 578-602.
19. R. Zimmer, Ergodic theory and semisimple groups, Birkhaiiser, Berlin, 1984.
20. A. Zuk, La propriété (T) de Kazhdan pour les groupes agissant sur les polyèdres, C. R. Acad. Sci. Paris, Ser. I, 323 1996, 453-458.