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arXiv · 2311.15174

Open Alexandrov spaces of nonnegative curvature

Xueping Li·Xiaochun Rong
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Abstract

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

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Xueping Li, Xiaochun Rong. 2023-11-26. Open Alexandrov spaces of nonnegative curvature. https://arxiv.org/abs/2311.15174

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