Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold

Alexander Yampolsky

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Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold

Alexander Yampolsky

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Abstract

We give a full description of totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold of constant curvature and present a new class of a cylinder-type totally geodesic submanifolds in the general case.

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Alexander Yampolsky. 2005-03-24. Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold. https://arxiv.org/abs/math/0503562

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