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Isoperimetric inequality and Weitzenb\"ock type formula for critical metrics of the volume by Baltazar, H.; Diógenes, R.; Ribeiro, E. is a scholarly article available to read on EtoBox.

What is Isoperimetric inequality and Weitzenb\"ock type formula for critical metrics of the volume about?

We provide an isoperimetric inequality for critical metrics of the volume functional with nonnegative scalar curvature on compact manifolds with boundary. In addition, we establish a Weitzenb\"ock type formula for critical metrics of the volume functional on four-dimensional manifolds. As an application, we obtain a classification result for such metrics.

Author

Baltazar, H.; Diógenes, R.; Ribeiro, E.

Published

2018

Language

EN