Superrigidity for irreducible lattices and geometric splitting;La super-rigidité des réseaux irréductibles et un théorème de décomposition

Comptes Rendus Mathematique

Volumn 340, Issue 3, 2005, Pages 185-190

  Monod, Nicolas ^a  

^a UNIVERSITY OF CHICAGO   (United States)

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[No Author keywords available]

Indexed keywords

EID: 12944300925     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2004.12.023     Document Type: Article

References (10)

1. M.R. Bridson A. Haefliger Metric Spaces of Non-Positive Curvature Grundlehren Math. Wiss. vol. 319 1999 Springer Berlin
2. D. Gromoll J.A. Wolf Some relations between the metric structure and the algebraic structure of the fundamental group in manifolds of nonpositive curvature Bull. Amer. Math. Soc. 77 1971 545-552
3. J. Jost S.-T. Yau Harmonic maps and rigidity theorems for spaces of nonpositive curvature Commun. Anal. Geom. 7 4 1999 681-694
4. H.B. Lawson Jr. S.-T. Yau Compact manifolds of nonpositive curvature J. Differential Geom. 7 1972 211-228
5. G.A. Margulis Arithmeticity of the irreducible lattices in the semisimple groups of rank greater than 1 Invent. Math. 76 1 1984 93-120
6. G.A. Margulis Discrete Subgroups of Semisimple Lie Groups 1991 Springer-Verlag Berlin
7. N. Monod, Superrigidity for irreducible lattices and geometric splitting, Preprint, 2003
8. N. Monod, Arithmeticity vs. non-linearity for irreducible lattices, Preprint, 2004
9. V. Schroeder A splitting theorem for spaces of nonpositive curvature Invent. Math. 79 2 1985 323-327
10. T.N. Venkataramana On superrigidity and arithmeticity of lattices in semisimple groups over local fields of arbitrary characteristic Invent. Math. 92 2 1988 255-306