Some characterizations of compact Einstein-type manifolds
Differential Geometry
2022-04-27 v1
Abstract
In this work, we investigate the geometry and topology of compact Einstein-type manifolds with nonempty boundary. First, we prove a sharp boundary estimate, as consequence we obtain under certain hypotheses that the Hawking mass is bounded from bellow in terms of area. Then we give a topological classification for its boundary. Finally, we prove a gap result for a compact Einstein-type manifold with boundary.
Cite
@article{arxiv.2204.12439,
title = {Some characterizations of compact Einstein-type manifolds},
author = {Maria Andrade and Ana Paula de Melo},
journal= {arXiv preprint arXiv:2204.12439},
year = {2022}
}