Integral and boundary estimates for critical metrics of the volume functional

2022/07/25 by Diógenes, Rafael, Pinheiro, Neilha, Ribeiro, Ernani · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2207.12344

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 n-dimensional compact manifolds with boundary. As application, we establish new boundary estimates for such manifolds.

Cited by

• Critical metrics of the volume functional on complete manifolds

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