Nonexistence of NNSC fill-ins with large mean curvature
Differential Geometry
2020-09-11 v1 Geometric Topology
Abstract
In this note we show that a closed Riemannian manifold does not admit a fill-in with nonnegative scalar curvature if the mean curvature is point-wise large. Similar result also holds for fill-ins with a negative scalar curvature lower bound.
Cite
@article{arxiv.2009.04976,
title = {Nonexistence of NNSC fill-ins with large mean curvature},
author = {Pengzi Miao},
journal= {arXiv preprint arXiv:2009.04976},
year = {2020}
}
Comments
5 pages