Étant donné une fonction positive F sur qui vérifie une condition de convexité convenable, nous considérons la r-ième courbure moyenne anisotrope pour les hypersurfaces de qui est une généralisation de la r-ième courbure moyenne usuelle . 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.
For a positive function F on which satisfies a suitable convexity condition, we consider the r-th anisotropic mean curvature for hypersurfaces in which is a generalization of the usual r-th mean curvature . 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.
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@article{CRMATH_2010__348_17-18_997_0, author = {Onat, Leyla}, title = {Some characterizations of the {Wulff} shape}, journal = {Comptes Rendus. Math\'ematique}, pages = {997--1000}, publisher = {Elsevier}, volume = {348}, number = {17-18}, year = {2010}, doi = {10.1016/j.crma.2010.07.028}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2010.07.028/} }
TY - JOUR AU - Onat, Leyla TI - Some characterizations of the Wulff shape JO - Comptes Rendus. Mathématique PY - 2010 SP - 997 EP - 1000 VL - 348 IS - 17-18 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2010.07.028/ DO - 10.1016/j.crma.2010.07.028 LA - en ID - CRMATH_2010__348_17-18_997_0 ER -
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://archive.numdam.org/articles/10.1016/j.crma.2010.07.028/
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