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

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2005
• Main Author: Yampolsky, A.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2005
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106568
• 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.

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.