2 citations · 2 across the 12 of their papers we have counts for
12 papers
A Schur's type volume comparison theorem
Xiaole Su, Yi Tan, Yusheng Wang
In this paper, inspired by Schur's comparison theorem about curves in Euclidean space, we mainly provide a Schur's type volume comparison theorem, which is about the volumes of the…
An Index III lemma and Rauch III theorem & applications
Shengqi Hu, Xiaole Su, Yusheng Wang
Inspired by Index I and II lemmas and Rauch I and II theorems, we formulate out an Index III lemma and Rauch III theorem in this paper. As applications, we present a Rauch's type t…
A proof of Toponogov's theorem in Alexandrov geometry
Shengqi Hu, Xiaole Su, Yusheng Wang
This paper aims to give an elementary proof for Toponogov's theorem in Alexandrov geometry with lower curvature bound. The idea of the proof comes from the fact that, in Riemannian…
New definitions of Alexandrov space and applications
Shengqi Hu, Xiaole Su, Yusheng Wang
In this paper we show that, in the definition of Alexandrov spaces with lower or upper curvature bound, the original conditions can be replaced with much weaker ones. For the purpo…
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…