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

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

2005-03-24

arxiv.org/abs/math/0503562v1

Mathematics

Differential Geometry

Matematicheskaya fizika, analiz, geometriya - to appear

Scientific paper

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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