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New examples of manifolds with completely integrable geodesic flows

Gabriel Paternain·Ralf J. Spatzier
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Abstract

We construct Riemannian manifolds with completely integrable geodesic flows, in particular various nonhomogeneous examples. The methods employed are a modification of Thimm's method, Riemannian submersions and connected sums.

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Gabriel Paternain, Ralf J. Spatzier. 1990-12-04. New examples of manifolds with completely integrable geodesic flows. https://arxiv.org/abs/math/9201276

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