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 -