講演者

韓 呼和氏（西北農林大学）

会場

オンライン

アブストラクト

Wulff shape known as a geometric model of a crystal at equilibrium. Convex integrand is a support function of Wulff shape, and it plays an important role in studying Wulff shapes. In this talk, we presented a characterization of apex point of Wulff shape, that is, $P$ is an apex of Wulff shape and convex integrand attached locally maximum if and only if the graph of its convex integrand is a pice of sphere. In the meanwhile, we also prove that any spherical convex body of constant width $\tau>\pi/2$ can be approximated by a body of constant width $\tau$ whose boundary is a spherical PC curves, as well as we wish in the sense of the Hausdorff distance. This fact is a couter part (\tau<\pi/2) of the result by Marek Lassak.