Examples of integrable sub-Riemannian geodesic flows

被引：7
|
作者：
Kruglikov, B [1 ]
机构：
[1] Univ Tromso, Inst Math, N-9037 Tromso, Norway
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2002年 / 8卷 / 03期
关键词：
sub-Riemannian structure; nonholonomic geodesic flow; topological entropy; Liouville integrability; pseudonorm of R-n-action;
D O I：
10.1023/A:1016378304071
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We exhibit examples of sub-Riemannian metrics with integrable geodesic flows and positive topological entropy. The underlying distribution is contact in 3 dimensions and is Goursat in the higher-dimensional case. We also give an example of Poisson R-3- action on 6-dimensional manifold such that topological entropies for all nonzero vectors (Hamiltonians) are positive.
引用
收藏
页码：323 / 340
页数：18
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