Gap Theorem on manifolds with small curvature concentration
Differential Geometry
2023-12-14 v1
Abstract
In this work, we show that complete non-compact manifolds with non-negative Ricci curvature, Euclidean volume growth and sufficiently small curvature concentration are necessarily flat Euclidean space.
Cite
@article{arxiv.2312.07845,
title = {Gap Theorem on manifolds with small curvature concentration},
author = {Pak-Yeung Chan and Man-Chun Lee},
journal= {arXiv preprint arXiv:2312.07845},
year = {2023}
}
Comments
10 pages