کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658996 1344298 2013 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algebraic Anosov actions of nilpotent Lie groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Algebraic Anosov actions of nilpotent Lie groups
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 160, Issue 1, 1 January 2013, Pages 199-219