Work

The Equality Case in the Substatic Heintze–Karcher Inequality

Year: 2024

Type: article

Abstract: We provide a rigidity statement for the equality case of the Heintze–Karcher inequality in substatic manifolds. We apply such a 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.

Source: Archive for Rational Mechanics and Analysis

DOI: 10.1007/s00205-024-02022-7

Authors: Stefano Borghini, Mattia Fogagnolo, Andrea Pinamonti

Institutions: University of Trento, University of Padua

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,890