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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Zh. Mat. Fiz. Anal. Geom., 2020 Volume 16, Number 3, Pages 221–227 (Mi jmag755)

This article is cited 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

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.

MSC: 53C44, 52A40

Received: 02.06.2020

Language: English

DOI: 10.15407/mag16.03.221



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