Hongwei Sun

activity

20102020

most citedOn Almost Isometry Theorem in Alexandrov Spaces with Curvature Bounded Below

2 citations · 2 across the 8 of their papers we have counts for

collaborators

8 papers

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).

math.DG2015

An Isometrical $CP^{n}$ -Theorem

Xiaole Su, Hongwei Sun, Yusheng Wang

Let $M^{n} (n \geq 3)$ be a complete Riemannian manifold with $sec_{M} \geq 1$ , and let $M_{i}^{n_{i}}$ ( $i = 1, 2$ ) be two comlplete totally geodesic submanifolds in $M$ . We prove that if $n_…

math.DG2015

On the Blaschke's Conjecture

Xiaole Su, Hongwei Sun, Yusheng Wang

The Blaschke's conjecture asserts that if $\diam(M)=\text{Inj}(M)=\frac\pi2$ (up to a rescaling) for a complete Riemannian manifold $M$ , then $M$ is isometric to $\Bbb S^n(\frac12)…

math.DG2014

On $\frac{π}{2}$ -separated subsets of Alexandrov spaces with curvature $\geq 1$

Xiaole Su, Hongwei Sun, Yusheng Wang

Let $M$ be an $n$ -dimensional Alexandrov space with curvature $\geq 1$ , and let ${q_{1}, \dots, q_{k}}$ be any $\frac{π}{2}$ -separated subset in $M$ (i.e. the distance $|q_iq_j|\geq\fra…

math.MG2013

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…

math.DG2010★ 2 cited

On Almost Isometry Theorem in Alexandrov Spaces with Curvature Bounded Below

Xiaole Su, Hongwei Sun, Yusheng Wang

In this paper we give a new proof for an almost isometry theorem in Alexandrov spaces with curvature bounded below.

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

Quasi-convex subsets in Alexandrov spaces with lower curvature bound

Pythagorean Theorem & curvature with lower or upper bound

An Isometrical CPn-Theorem

On the Blaschke's Conjecture

On 2π​-separated subsets of Alexandrov spaces with curvature ≥1

Rigidity theorems for glued spaces being suspensions, cones and joins in Alexandrov geometry with curvature bounded below

On Almost Isometry Theorem in Alexandrov Spaces with Curvature Bounded Below

An Isometrical $CP^{n}$ -Theorem

On $\frac{π}{2}$ -separated subsets of Alexandrov spaces with curvature $\geq 1$