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

2005/03/24 by Alexander Yampolsky, Yampolsky, Alexander
Mathematics · #53B25 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53B25 #msc:53C42

paper · pdf · doi:10.48550/arxiv.math/0503562

Matematicheskaya fizika, analiz, geometriya - to appear

arxiv created 2005/03/24 · arxiv updated 2009/12/01

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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