Comptes Rendus
Research article - Geometry and Topology
A simple generalization of a Willmore-type inequality
Seong-Hun Paeng 1
1 Department of Mathematics, Konkuk University, 120 Neungdong-ro, Gwangjin-gu, Seoul 05029, Korea
Comptes Rendus. Mathématique, Volume 362 (2024), pp. 1793-1799

We give a simple generalization of the Willmore-type inequality in [1] without assuming that Ricci curvature is nonnegative everywhere.

Nous donnons une généralisation simple de l’inégalité de type Willmore dans [1] sans supposer que la courbure de Ricci est partout non négative.

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DOI: 10.5802/crmath.684
Classification: 53C20, 53C42
Keywords: Willmore-type inequality, Ricci curvature
Mots-clés : Inégalité de type Willmore, courbure de Ricci

Seong-Hun Paeng  1

1 Department of Mathematics, Konkuk University, 120 Neungdong-ro, Gwangjin-gu, Seoul 05029, Korea
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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     title = {A simple generalization of a {Willmore-type} inequality},
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Seong-Hun Paeng. A simple generalization of a Willmore-type inequality. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 1793-1799. doi: 10.5802/crmath.684

[1] Virginia Agostiniani; Mattia Fogagnolo; Lorenzo Mazzieri Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature, Invent. Math., Volume 222 (2020) no. 3, pp. 1033-1101 | DOI | MR | Zbl

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