English

A globalization for non-complete but geodesic spaces

Differential Geometry 2016-10-05 v3

Abstract

I show that if a geodesic space has curvature bounded below locally in the sense of Alexandrov then its completion has the same lower curvature bound globally.

Keywords

Cite

@article{arxiv.1208.3155,
  title  = {A globalization for non-complete but geodesic spaces},
  author = {Anton Petrunin},
  journal= {arXiv preprint arXiv:1208.3155},
  year   = {2016}
}

Comments

minor correction

R2 v1 2026-06-21T21:51:03.372Z