Collective geodesic flows

被引：3
|
作者：
Butler, LT
Paternain, GP
机构：
[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA
[2] Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England
来源：
ANNALES DE L INSTITUT FOURIER | 2003年 / 53卷 / 01期
关键词：
collective geodesic flows; topological entropy; semi-simple Lie algebras; moment map; Melnikov integral;
D O I：
10.5802/aif.1944
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that most compact semi-simple Lie groups carry many left invariant metrics with positive topological entropy. We also show that many homogeneous spaces admit collective Riemannian metrics arbitrarily close to the bi-invariant metric and whose geodesic flow has positive topological entropy. Other properties of collective geodesic flows are also discussed.
引用
收藏
页码：265 / +
页数：45
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