Quasi-convex subsets and the farthest direction in Alexandrov spaces with lower curvature bound

Xiaole Su; Hongwei Sun; Yusheng Wang

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arXiv · 2012.08685

Quasi-convex subsets and the farthest direction in Alexandrov spaces with lower curvature bound

Xiaole Su·Hongwei Sun·Yusheng Wang

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Abstract

This paper aims to give a further study on quasi-convex subsets in Alexandrov spaces with lower curvature bound which are introduced in [SSW]. We first provide new insights on quasi-convex subsets (Theorem A and Corollary C), and then as applications of them we explore more properties of quasi-convex subsets.

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Xiaole Su, Hongwei Sun, Yusheng Wang. 2020-12-16. Quasi-convex subsets and the farthest direction in Alexandrov spaces with lower curvature bound. https://arxiv.org/abs/2012.08685

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