Tangential flatness and global rigidity of higher rank lattice actions-Reference-Cited by-同舟云学术

Tangential flatness and global rigidity of higher rank lattice actions

Published:1997 Issue:2 Volume:349 Page:657-673
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Qian Nantian

Abstract

We establish the continuous tangential flatness for orientable weakly Cartan actions of higher rank lattices. As a corollary, we obtain the global rigidity of Anosov Cartan actions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1997-349-02/S0002-9947-97-01857-6/S0002-9947-97-01857-6.pdf

Reference26 articles.

1. Geodesic flows on closed Riemannian manifolds of negative curvature;Anosov, D. V.;Trudy Mat. Inst. Steklov.,1967

2. Partially hyperbolic dynamical systems;Brin, M. I.;Izv. Akad. Nauk SSSR Ser. Mat.,1974

3. [F] R. Feres, Actions of discrete linear groups and Zimmer’s conjecture, J. Differential Geom. 42 (3) (1995), 554–576.

4. Stable manifolds and hyperbolic sets;Hirsch, Morris W.,1970

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