Compact gradient Einstein-type manifolds with boundary

Published 16 May 2022 in math.DG | (2205.07827v3)

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.

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