Hypersurfaces with Constant Anisotropic Mean Curvatures
Vol. 20 (2013), No. 3, Page 335–347.
Ma, Hui; Xiong, Changwei
Hypersurfaces with Constant Anisotropic Mean Curvatures
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Abstract:
In this note, we apply the evolution method to present another proof of the anisotropic version of Heinze-Karcher inequality for hypersurfaces in the Euclidean space, from which the Alexandrov type theorem follows from a standard argument via the Minkowski formula.
Keywords: Alexandrov theorem, Wulff shape, anisotropic mean curvature.
Mathematics Subject Classification (2010): Primary 53C42; Secondary 53C40, 49Q10.
Mathematical Reviews Number: MR3156985
Received: 2013-04-09