函数k(u)=▏sinu▏+a所确定的Wulff形

Wulff Shape Determined by the Function k(u)=▏sinu▏+a

凸体是积分几何和凸几何分析的重要内容,Wulff形作为一类特殊凸体,具有一定研究价值。利用凸体的支持函数与函数性质,研究函数k(u)=▏sinu▏+a所确定的Wulff形,给出Wulff形的周长和面积的计算公式。

Convex body is an important part of integral geometry and convex geometry analysis. As a special convex body, Wulff shape has certain research value. By using the support functions of convex bod-ies and function properties, this paper discusses the Wulff shape determined by the function k(u)=▏sinu▏+a , given the formula for calculating the perimeter and area of the Wulff shape.