Article ID Journal Published Year Pages File Type
4658996 Topology and its Applications 2013 21 Pages PDF
Abstract

In this paper we classify algebraic Anosov actions of nilpotent Lie groups on closed manifolds, extending the previous results by P. Tomter (1970, 1975) [17,18]. We show that they are all nil-suspensions over either suspensions of Anosov actions of Zk on nilmanifolds, or (modified) Weyl chamber actions. We check the validity of the generalized Verjovsky conjecture in this algebraic context. We also point out an intimate relation between algebraic Anosov actions and Cartan subalgebras in general real Lie groups.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology