Compact gradient Einstein-type manifolds with boundary
arXiv:2205.07827 · doi:10.1007/s11005-025-01937-w
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.
In this version, we include new proofs of Theorems 1 and 2