TY - JOUR

T1 - Toric integrable geodesic flows in odd dimensions

AU - Lee, Christopher R.

AU - Tolman, Susan

PY - 2011/9

Y1 - 2011/9

N2 - 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.

AB - 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.

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U2 - 10.4310/MRL.2011.v18.n5.a18

DO - 10.4310/MRL.2011.v18.n5.a18

M3 - Article

AN - SCOPUS:84862921466

SN - 1073-2780

VL - 18

SP - 1013

EP - 1022

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 5

ER -