A New Characterization of the Wulff Shape

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Authors: Julien Roth
Cited by: 0

Abstract

A new characterization of the Wulff shape in terms of higher-order anisotropic mean curvatures is proved.Namely, if a closed, connected and oriented hypersurface of the Euclidean space has a constant higher-order anisotropic mean curvature H F r and another one H F s almost constant, then it is the Wulff shape, up to translations and homotheties.

Fields of Study & Subjects

Structural Analysis of Composite Materials Architecture and Computational Design

Publication details

Journal / source
Electronic Journal of Mathematics
Volume
12
Publication date
7 September 2026
Language
EN