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math.MG2020
Quasi-convex subsets and the farthest direction in Alexandrov spaces with lower curvature bound
Xiaole Su, Hongwei Sun, Yusheng Wang
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 quas…
math.MG2020
Quasi-convex subsets in Alexandrov spaces with lower curvature bound
Xiaole Su, Hongwei Sun, Yusheng Wang
In this paper, we introduce quasi-convex subsets in Alxandrov spaces with lower curvature bound, which include not only all closed convex subsets without boundary but also all extr…
math.MG2019
Pythagorean Theorem & curvature with lower or upper bound
Xiaole Su, Hongwei Sun, Yusheng Wang
In this paper, we give a comparison version of Pythagorean Theorem to judge the lower or upper bound of the curvature of Alexandrov spaces (including Riemannian manifolds).