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Anosov automorphisms for nilmanifolds and rigidity of group actions

Published online by Cambridge University Press:  19 September 2008

Nantian Qian
Nantian Qian
Affiliation:
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA (email: qian@math.psu.edu)
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Abstract

We obtain the density of Lyapunov exponents for maximal abelian ℝ-split group in kth tensor product representation of a subgroup Γ ⊂ SL(n, ℤ) of finite index under certain conditions. Anosov and Cartan actions of such groups associated with irreducible representations of SL(n, ℝ) are also classified. Examples of rigidity of actions on nilmanifolds are discussed.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 2 , April 1995 , pp. 341 - 359
Copyright
Copyright © Cambridge University Press 1995

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