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On the Willmore's theorem for convex hypersurfaces

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Publication:655818
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DOI10.1016/S0252-9602(11)60237-3zbMath1240.52009MaRDI QIDQ655818

Jia-zu Zhou

Publication date: 27 January 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)


zbMATH Keywords

mean curvatureMinkowski quermassintegralWillmore deficit


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Integral geometry (53C65) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Random convex sets and integral geometry (aspects of convex geometry) (52A22)


Related Items (1)

The \(L^1\) gradient flow of a generalized scale invariant Willmore energy for radially non-increasing functions






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