Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold
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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| Date: | 2005 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2005
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/106568 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold / A. Yampolsky // Журнал математической физики, анализа, геометрии. — 2005. — Т. 1, № 1. — С. 116-139. — Бібліогр.: 14 назв. — англ. |