Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- March 2005
- DOI:
- arXiv:
- arXiv:math/0503562
- Bibcode:
- 2005math......3562Y
- Keywords:
-
- Mathematics - Differential Geometry;
- 53B25;
- 53C42
- E-Print:
- Matematicheskaya fizika, analiz, geometriya - to appear