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- W2007033252 abstract "We show that if M is a compact simply connected Riemannian manifold whose geodesic flow is completely integrable with non-degenerate first integrals, then the loop space homology of M grows sub-exponentially. We also show that if for some point p ϵ M , the geodesic flow of M admits action-angle coordinates with singularities in a neighborhood of every vector in the unit sphere at p , then M is Z -elliptic." @default.
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- W2007033252 date "1994-04-01" @default.
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- W2007033252 title "On the topology of manifolds with completely integrable geodesic flows II" @default.
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- W2007033252 doi "https://doi.org/10.1016/0393-0440(94)90036-1" @default.
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