Integral of scalar curvature on non-parabolic manifolds
Differential Geometry
2023-06-14 v1
Abstract
Using the monotonicity formulas of Colding and Minicozzi, we prove that on any complete, non-parabolic Riemannian manifold with non-negative Ricci curvature, the asymptotic weighted scaling invariant integral of scalar curvature has an explicit bound in form of asymptotic volume ratio.
Keywords
Cite
@article{arxiv.1902.09038,
title = {Integral of scalar curvature on non-parabolic manifolds},
author = {Guoyi Xu},
journal= {arXiv preprint arXiv:1902.09038},
year = {2023}
}
Comments
to appear in J. Geom. Anal