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New weighted geometric inequalities for hypersurfaces in space forms

New weighted geometric inequalities for hypersurfaces in space forms 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

New weighted geometric inequalities for hypersurfaces in space forms

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References (28)

Publisher
Wiley
Copyright
© 2023 London Mathematical Society.
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms.12726
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Feb 1, 2023

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