关于卵形面特征的一个注记

数学季刊 ›› 2013, Vol. 28 ›› Issue (2): 202-205.

关于卵形面特征的一个注记

Department of Mathematics, Sichuan University

收稿日期:2011-09-19 出版日期:2013-06-30 发布日期:2023-03-01
作者简介:WANG Bao-fu(1965-), male, native of Dongtai, Jiangsu, a professor of Sichuan University, engages in diﬀerential geometry; SHENG Li(1979-), male, native of Shihezi, Xinjiang, a lecturer of Sichuan University, engages in diﬀerential geometry.
基金资助:
Supported by the NSFC(11171235,11201318)

A Note of the Hyperovaloid Characterization

Department of Mathematics, Sichuan University

Received:2011-09-19 Online:2013-06-30 Published:2023-03-01
About author:WANG Bao-fu(1965-), male, native of Dongtai, Jiangsu, a professor of Sichuan University, engages in diﬀerential geometry; SHENG Li(1979-), male, native of Shihezi, Xinjiang, a lecturer of Sichuan University, engages in diﬀerential geometry.
Supported by:
Supported by the NSFC(11171235,11201318)

摘要/Abstract

摘要： Let L_r be the r-th affine mean curvature of a hyperovaloid in Aⁿ⁺¹ , in this paper, we prove that if L_r=0 and for some fixed 1 ≤i₁< ···< i_r<n,...= C everywhere on M, then M must be an ellipsoid, where C is a constant.

关键词: a?ne mean curvature, hyperovaloid, ellipsoid

Abstract: Let L_r be the r-th affine mean curvature of a hyperovaloid in A ⁿ⁺¹ , in this paper, we prove that if Lr=0 and for some fixed 1 ≤i₁< ···< i_r<n,...= C everywhere on M, then M must be an ellipsoid, where C is a constant.

Key words: a?ne mean curvature, hyperovaloid, ellipsoid

中图分类号:

O186.13

王宝富, 盛利 . 关于卵形面特征的一个注记[J]. 数学季刊, 2013, 28(2): 202-205.

WANG Bao-fu, SHENG Li. A Note of the Hyperovaloid Characterization[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(2): 202-205.