Dept. Math, Hokkaido Univ. EPrints Server

Uniqueness of Constant Weakly Anisotropic Mean Curvature Immersion of Sphere $S^2$ In $\Bbb R^3$

Preprint Series # 794
Giga, Yoshikazu and Zhai, Jian Uniqueness of Constant Weakly Anisotropic Mean Curvature Immersion of Sphere $S^2$ In $\Bbb R^3$. (2006);

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Abstract

We prove that the constant anisotropic mean curvature immersion of sphere $S^2$ in $\Bbb R^3$ is unique, provided that anisotropy is weak in the sense that the energy density function is close to isotropic one.

Item Type:Preprint
Subjects:53-xx DIFFERENTIAL GEOMETRY
ID Code:1598