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arXiv · 2006.15878

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

Alexander A. Borisenko
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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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Alexander A. Borisenko. 2020-07-03. The estimation of the length of a convex curve in two-dimensional Alexandrov space. https://arxiv.org/abs/2006.15878

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