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Journal Articles Topology Appl. Year : 2013

ALGEBRAIC ANOSOV ACTIONS OF NILPOTENT LIE GROUPS

Abstract

In this paper we classify algebraic Anosov actions of nilpotent Lie groups on closed manifolds, extending the previous results by P. Tomter. We show that they are all nil-suspensions over either suspensions of Anosov actions of Z^k 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.
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Dates and versions

hal-00713622 , version 1 (02-07-2012)

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Thierry Barbot, Carlos Maquera. ALGEBRAIC ANOSOV ACTIONS OF NILPOTENT LIE GROUPS. Topology Appl., 2013, 160 (1), pp.199--219. ⟨10.1016/j.topol.2012.10.012⟩. ⟨hal-00713622⟩
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