The estimation of the length of a convex curve in two-dimensional Alexandrov space

2020/06/29 by Borisenko, Alexander A.
#52A40 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.15878

Abstract

It is proved the generalization of Toponogov theorem about the length of the curve in two-dimensional Riemannian manifolds in the case of two-dimensional Alexandrov spaces.

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