arXiv Analytics

Sign in

arXiv:math/0503562 [math.DG]AbstractReferencesReviewsResources

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

Alexander Yampolsky

Published 2005-03-24Version 1

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.

Comments: Matematicheskaya fizika, analiz, geometriya - to appear
Categories: math.DG
Subjects: 53B25, 53C42
Related articles: Most relevant | Search more
arXiv:1310.8606 [math.DG] (Published 2013-10-31)
Totally Geodesic Submanifolds in Tangent Bundle with g - natural Metric
arXiv:math/0511530 [math.DG] (Published 2005-11-21)
Examples and structure of CMC surfaces in some Riemannian and Lorentzian homogeneous spaces
arXiv:math/9801046 [math.DG] (Published 1998-01-11)
A tangent bundle on diffeological spaces

Links

Toolbox