Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2005, Volume 1, Number 1, Pages 116–139 (Mi jmag7)  
This article is cited in 1 scientific paper (total in 1 paper)

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

Alexander Yampolsky

Department of Mechanics and Mathematics, V.N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61077, Ukraine
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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.
Key words and phrases: Sasaki metric, totally geodesic submanifolds in the tangent bundle.
Received: 07.12.2004
Bibliographic databases:
Document Type: Article
MSC: Primary 53B25; Secondary 53B20
Language: English
Citation: Alexander Yampolsky, “Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold”, Zh. Mat. Fiz. Anal. Geom., 1:1 (2005), 116–139
Citation in format AMSBIB
\Bibitem{Yam05}
\by Alexander Yampolsky
\paper Totally geodesic submanifolds in the tangent bundle of a Riemannian 2-manifold
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2005
\vol 1
\issue 1
\pages 116--139
\mathnet{http://mi.mathnet.ru/jmag7}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2170669}
\zmath{https://zbmath.org/?q=an:1085.53056}
\elib{https://elibrary.ru/item.asp?id=13421678}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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