Pythagorean Theorem & curvature with lower or upper bound
Metric Geometry
2019-11-05 v1
Abstract
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).
Cite
@article{arxiv.1911.01019,
title = {Pythagorean Theorem & curvature with lower or upper bound},
author = {Xiaole Su and Hongwei Sun and Yusheng Wang},
journal= {arXiv preprint arXiv:1911.01019},
year = {2019}
}
Comments
16pages