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We prove a family of new sharp geometric inequalities involving weighted curvature integrals and quermassintegrals for smooth closed hypersurfaces in space forms. The tools we shall use are the inverse curvature flow by Gerhardt and Urbas and the locally constrained curvature flows introduced recently by Brendle, Guan and Li.
Bulletin of the London Mathematical Society – Wiley
Published: Feb 1, 2023
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