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], 2019, Volume 15, Number 2, Pages 192–202
DOI: https://doi.org/10.15407/mag15.02.192 (Mi jmag722) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On the structure of multidimensional submanifolds with metric of revolution in Euclidean space

Alexander A. Borisenko

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv, 61103, Ukraine
Full-text PDF (287 kB) Citations (6)
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DOI: https://doi.org/10.15407/mag15.02.192
Abstract: It is proved that a submanifold of low codimension with induced metric of revolution of sectional curvature of constant sign is a submanifold of revolution if the coordinate geodesic lines are the lines of curvature.
Key words and phrases: metric of revolution, submanifolds of rotation, lines of curvature, sectional curvature.
Received: 14.12.2017
Revised: 06.06.2018
Bibliographic databases:
Document Type: Article
MSC: 53B25.
Language: English
Citation: Alexander A. Borisenko, “On the structure of multidimensional submanifolds with metric of revolution in Euclidean space”, Zh. Mat. Fiz. Anal. Geom., 15:2 (2019), 192–202
Citation in format AMSBIB
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\paper On the structure of multidimensional submanifolds with metric of revolution in Euclidean space
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2019
\vol 15
\issue 2
\pages 192--202
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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