%0 Journal Article
%T 一类对称多项式在微分几何中的应用<br>A CLASS OF SYMMETRIC POLYNOMIAL AND ITS APPLICATIONS ON DIFFERENTIAL GEOMETRY
%A 作者
%A 曹然
%A 王宝富
%J 数学杂志
%D 2015
%X 本文研究了卵形面特征刻画. 利用麦克劳林不等式及对称多项式的性质, 获得了一个An+1 中的卵形面, 若其任意三个连续高阶仿射平均曲率乘积为常熟, 且Ln≠0, 则该卵形面为椭圆的结果. 推广了现有文献关于卵形面的刻画结果.<br>In this paper, we study the charachters of ovaloid. By using the Machaurin's inequality and symmetric polynomial, we prove that an ovaloid in An+1 is an ellipsoid if the product of its three random continuous affine mean cervatures is constant and Ln≠0 0, which is a generalization of the characterization of ovaloid
%K 对称多项式 卵形面 椭球&lt
%K br&gt
%K symmetric polynomial ovaloid ellipsoid
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20150623&flag=1