Integral and boundary estimates for critical metrics of the volume functional
Differential Geometry
2023-01-19 v2
Abstract
In this article, we investigate the geometry of critical metrics of the volume functional on compact manifolds with boundary. We use the generalized Reilly's formula to derive new sharp integral estimates for critical metrics of the volume functional on -dimensional compact manifolds with boundary. As application, we establish new boundary estimates for such manifolds.
Keywords
Cite
@article{arxiv.2207.12344,
title = {Integral and boundary estimates for critical metrics of the volume functional},
author = {Rafael Diógenes and Neilha Pinheiro and Ernani Ribeiro},
journal= {arXiv preprint arXiv:2207.12344},
year = {2023}
}
Comments
To appear in Israel Journal of Mathematics