Compact gradient Einstein-type manifolds with boundary
Differential Geometry
2025-12-24 v3
Abstract
We deal with rigidity results for compact gradient Einstein-type manifolds with nonempty boundaries. As a result, we obtain new characterizations for hemispheres and geodesic balls in simply connected space forms. In dimensions three and five, we obtain topological characterizations for the boundary and upper bounds for its area.
Keywords
Cite
@article{arxiv.2205.07827,
title = {Compact gradient Einstein-type manifolds with boundary},
author = {Allan George de Carvalho Freitas and José Nazareno Vieira Gomes},
journal= {arXiv preprint arXiv:2205.07827},
year = {2025}
}
Comments
In this version, we include new proofs of Theorems 1 and 2