English

Open Alexandrov spaces of nonnegative curvature

Differential Geometry 2025-04-15 v2

Abstract

Let XX be an open (i.e. complete, non-compact and without boundary) Alexandrov nn-space of nonnegative curvature with a soul SS. In this paper, we will establish several structural results on XX that can be viewed as counterparts of structural results on an open Riemannian manifold with nonnegative sectional curvature.

Keywords

Cite

@article{arxiv.2311.15174,
  title  = {Open Alexandrov spaces of nonnegative curvature},
  author = {Xueping Li and Xiaochun Rong},
  journal= {arXiv preprint arXiv:2311.15174},
  year   = {2025}
}

Comments

39pages