A New Characterization of the Wulff Shape
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Abstract
We prove a new charcaterization of the Wulff shape in termes of higher order anisotropic mean curvatures. Namely, if a closed, connnected 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 Wullf shape, up to translations and homotheties.
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Authors: Julien Roth
Institutions: Centre National de la Recherche Scientifique, Université Gustave Eiffel, Université Paris-Est Créteil, Laboratoire d’Analyse et de Mathématiques Appliquées