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

Автор(и)

  • Alexander Yampolsky Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine

Ключові слова:

Sasaki metric, totally geodesic submanifolds in the tangent bundle

Анотація

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.

Mathematics Subject Classification: 53B25, 53B20.

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Як цитувати

(1)
Yampolsky, A. Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold. Журн. мат. фіз. анал. геом. 2005, 1, 116-139.

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