Non-uniqueness of closed embedded non-smooth hypersurfaces with constant anisotropic mean curvature

10 Mar 2019 Jikumaru Yoshiki Koiso Miyuki

An anisotropic surface energy is the integral of an energy density that depends on the normal at each point over the considered surface, and it is a generalization of surface area. The minimizer of such an energy among all closed surfaces enclosing the same volume is unique and it is (up to rescaling) so-called the Wulff shape... (read more)

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  • DIFFERENTIAL GEOMETRY