Some characterizations of compact Einstein-type manifolds

Maria Andrade; Ana Paula de Melo

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arXiv · 2204.12439

Some characterizations of compact Einstein-type manifolds

Maria Andrade·Ana Paula de Melo

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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.

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Maria Andrade, Ana Paula de Melo. 2022-04-26. Some characterizations of compact Einstein-type manifolds. https://arxiv.org/abs/2204.12439

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