arXiv subjects

Ana Paula de Melo

Publications and source records attributed to Ana Paula de Melo.

2 recordsLinked to original sources

arXiv2022

Some characterizations of compact Einstein-type manifolds

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.

math.DG↗

arXiv2021

Static Einstein-Maxwell space-time invariant by translation

In this paper we study the static Einstein-Maxwell space when it is conformal to an $n$-dimensional pseudo-Euclidean space, which is invariant under the action of an $(n-1)$-dimensional translation group. We also provide a complete classification of such space.

gr-qc↗