Sphere theorems for RCD and stratified spaces
Differential Geometry
2019-07-10 v2
Abstract
We prove topological sphere theorems for RCD(n-1, n) spaces which generalize Colding's results and Petersen's result to the RCD setting. We also get an improved sphere theorem in the case of Einstein stratified spaces.
Keywords
Cite
@article{arxiv.1907.03482,
title = {Sphere theorems for RCD and stratified spaces},
author = {Shouhei Honda and Ilaria Mondello},
journal= {arXiv preprint arXiv:1907.03482},
year = {2019}
}