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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 3, Pages 355–365 (Mi jmag213)  
This article is cited in 2 scientific papers (total in 2 papers)

Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds

A. Yampolsky

Department of Mechanics and Mathematics, V. N. Karazin Kharkov National University, 4 Svobody Sq., Kharkov, 61103, Ukraine
Full-text PDF (232 kB) Citations (2)
Abstract: We give a full geometrical description of local totally geodesic unit vector field on Riemannian 2-manifold, considering the field as a local imbedding of the manifold into its unit tangent bundle with the Sasaki metric.
Received: 02.03.2004
Document Type: Article
Language: English
Citation: A. Yampolsky, “Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds”, Mat. Fiz. Anal. Geom., 11:3 (2004), 355–365
Citation in format AMSBIB
\Bibitem{Yam04}
\by A.~Yampolsky
\paper Full description of totally geodesic unit vector fields on 2-dimensional Riemannian manifolds
\jour Mat. Fiz. Anal. Geom.
\yr 2004
\vol 11
\issue 3
\pages 355--365
\mathnet{http://mi.mathnet.ru/jmag213}
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  • https://www.mathnet.ru/eng/jmag/v11/i3/p355
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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