2 citations · 4 across the 15 of their papers we have counts for
6 papers · 1 filter
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…
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…
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).
The Soul Conjecture in Alexandrov Geometry in dimension 4
Xiaochun Rong, Yusheng Wang
In this paper, we prove the Soul Conjecture in Alexandrov geometry in dimension , i.e. if is a complete non-compact -dimensional Alexandrov space of non-negative curvatur…
Finite Quotient of Join in Alexandrov Geometry
Xiaochun Rong, Yusheng Wang
Given two -dimensional Alexandrov spaces of curvature , the join of and is an -dimensional Alexandrov space of curvature , whi…
Rigidity theorems for glued spaces being suspensions, cones and joins in Alexandrov geometry with curvature bounded below
Xiaole Su, Hongwei Sun, Yusheng Wang
In the paper, we give rigidity theorems when the glued space of two Alexandrov spapces with curvature bounded below is a suspension, cone or join. And we list some basic properties…