Toric integrable geodesic flows in odd dimensions

Christopher R. Lee, Susan Tolman

Research output: Contribution to journalArticlepeer-review

Abstract

Let Q be a compact, connected n-dimensional Riemannian manifold, and assume that the geodesic flow is toric integrable. If n ≠ 3 is odd, or if π1(Q) is infinite, we show that the cosphere bundle of Q is equivariantly contactomorphic to the cosphere bundle of the torus Tn. As a consequence, Q is homeomorphic to Tn.

Original languageEnglish (US)
Pages (from-to)1013-1022
Number of pages10
JournalMathematical Research Letters
Volume18
Issue number5
DOIs
StatePublished - Sep 2011

ASJC Scopus subject areas

  • Mathematics(all)

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