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

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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.
Matematicheskaya fizika, analiz, geometriya - to appear

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Differential Geometry, 53B25, 53C42

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http://salesiana.dossiersoluciones.com/handle/123456789/74651

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503562
 http://arxiv.org/abs/math/0503562

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arXiv