Mathematical Research Letters
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.
Geometry, Riemannian; Riemannian manifolds
Citation: Pilot Scholars Version (Modified MLA Style)
Lee, Christopher R. and Tolman, Susan, "Toric Integrable Geodesic Flows in Odd Dimensions" (2011). Mathematics Faculty Publications and Presentations. Paper 8.