Geometry of Einstein-type manifolds with boundary
Differential Geometry
2025-01-24 v1
Abstract
In this article, we consider Einstein-type manifolds with boundary which generalizes important geometric equations, like static vacuum and static perfect fluid. We investigate some geometric inequalities for those manifolds. Then, we established boundary estimates in terms of the first eigenvalue of the Jacobi operator and another one related to the Brown-York mass.
Cite
@article{arxiv.2501.13700,
title = {Geometry of Einstein-type manifolds with boundary},
author = {Maria Andrade},
journal= {arXiv preprint arXiv:2501.13700},
year = {2025}
}
Comments
To the memory of Celso Viana