Geometry of positive scalar curvature on complete manifold
Differential Geometry
2022-02-01 v1
Abstract
In this paper, we study the interplay of geometry and positive scalar curvature on a complete, non-compact manifold with non-negative Ricci curvature. In three-dimensional manifold, we prove a minimal volume growth, an estimate of integral of scalar curvature and width. In higher dimensional manifold, we obtain a volume growth with a stronger condition.
Keywords
Cite
@article{arxiv.2201.12668,
title = {Geometry of positive scalar curvature on complete manifold},
author = {Bo Zhu},
journal= {arXiv preprint arXiv:2201.12668},
year = {2022}
}