English

On $\mathsf{CD}$ spaces with nonnegative curvature outside a compact set

Differential Geometry 2022-10-12 v1 Metric Geometry

Abstract

In this paper we adapt work of Z.-D. Liu to prove a ball covering property for non-branching CD\mathsf{CD} spaces with nonnegative curvature outside a compact set. As a consequence we obtain uniform bounds on the number of ends of such spaces.

Keywords

Cite

@article{arxiv.2108.10659,
  title  = {On $\mathsf{CD}$ spaces with nonnegative curvature outside a compact set},
  author = {Mauricio Che and Jesús Núñez-Zimbrón},
  journal= {arXiv preprint arXiv:2108.10659},
  year   = {2022}
}

Comments

8 pages

R2 v1 2026-06-24T05:22:34.802Z