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], 2020, Volume 16, Number 3, Pages 221–227
DOI: https://doi.org/10.15407/mag16.03.221 (Mi jmag755) 		 
This article is cited in 3 scientific papers (total in 3 papers)

An estimation of the length of a convex curve in two-dimensional Aleksandrov spaces

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
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DOI: https://doi.org/10.15407/mag16.03.221
Abstract: In the paper, a generalization of the Toponogov theorem about the length of a curve in a two-dimensional Riemannian manifold is proved for the case of two-dimensional Aleksandrov spaces.
Key words and phrases: $\lambda$-convex curve, two-dimensional Aleksandrov space.
Received: 02.06.2020
Bibliographic databases:
Document Type: Article
MSC: 53C44, 52A40
Language: English
Citation: Alexander A. Borisenko, “An estimation of the length of a convex curve in two-dimensional Aleksandrov spaces”, Zh. Mat. Fiz. Anal. Geom., 16:3 (2020), 221–227
Citation in format AMSBIB
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\paper An estimation of the length of a convex curve in two-dimensional Aleksandrov spaces
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\yr 2020
\vol 16
\issue 3
\pages 221--227
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