TORIC INTEGRABLE GEODESIC FLOWS IN ODD DIMENSIONS

被引：0

作者：

Lee, Christopher R. ^{[1
]}

Tolman, Susan ^{[2
]}

机构：

[1] Univ Portland, Dept Math, Portland, OR 97203 USA

[2] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2011年 / 18卷 / 05期

关键词：

TORUS ACTIONS; MANIFOLDS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Q be a compact, connected n-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If n not equal 3 is odd, or if pi(1)(Q) is infinite, we show that the cosphere bundle of Q is equivariantly contactomorphic to the cosphere bundle of the torus T-n. As a consequence, Q is homeomorphic to T-n.

引用

页码：1013 / 1022

页数：10

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