A New Characterization of the Wulff Shape

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.

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Publication Details

Journal
Electronic Journal of Mathematics
Published
2026-09-07
DOI
https://doi.org/10.47443/ejm.2026.034
Primary Topic
Structural Analysis of Composite Materials
Type
article
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article

A New Characterization of the Wulff Shape

Julien Roth
Electronic Journal of Mathematics
Structural Analysis of Composite Materials
article

A New Characterization of the Wulff Shape

Julien Roth
article en

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.

Electronic Journal of MathematicsVol. 12
Centre National de la Recherche Scientifique (FR), Université Paris-Est Créteil (FR), Laboratoire d’Analyse et de Mathématiques Appliquées (FR), Université Gustave Eiffel (FR)
Openalex Percentile: Top 100%
Structural Analysis of Composite Materials
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