Accepted Paper

Inserted: 9 jul 2023
Last Updated: 8 jul 2024

Journal: ARMA
Year: 2023

Abstract:

We provide a rigidity statement for the equality case for the Heintze-Karcher inequality in substatic manifolds. We apply such result in the warped product setting to fully remove assumption (H4) in the celebrated Brendle's characterization of constant mean curvature hypersurfaces in warped products.

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• Alexandrov_part_II.pdf