Geodesic
Differential Geometry
Some characterizations of the Wulff shape
[Sur certaines caractérisations des formes de Wulff]

Présenté par : Jean-Pierre Demailly

Onat, Leyla1
1 Department of Mathematics, Faculty of Arts and Sciences, Adnan Menderes University, 09010 Aydın, Turkey
Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 997-1000.

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For a positive function F on Sn which satisfies a suitable convexity condition, we consider the r-th anisotropic mean curvature for hypersurfaces in Rn+1 which is a generalization of the usual r-th mean curvature Hr. By using an integral formula of Minkowski type for compact hypersurface due to H.J. He and H. Li, we introduce some new characterizations of the Wulff shape.

Étant donné une fonction positive F sur Sn qui vérifie une condition de convexité convenable, nous considérons la r-ième courbure moyenne anisotrope pour les hypersurfaces de Rn+1 qui est une généralisation de la r-ième courbure moyenne usuelle Hr. En utilisant une formule intégrale de type Minkowski pour les hypersurfaces compactes due à H.J. He et H. Li, nous introduisons de nouvelles caractérisations des formes de Wulff.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crma.2010.07.028

Onat, Leyla 1

1 Department of Mathematics, Faculty of Arts and Sciences, Adnan Menderes University, 09010 Aydın, Turkey 
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Onat, Leyla. Some characterizations of the Wulff shape. Comptes Rendus. Mathématique, Tome 348 (2010) no. 17-18, pp. 997-1000. doi : 10.1016/j.crma.2010.07.028. http://geodesic.mathdoc.fr/articles/10.1016/j.crma.2010.07.028/

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