A Conjecture on Veronese Generating Submanifolds  

作　　者：SONGHong-zao SONGXiao-xin 

机构地区：[1]CollegeofMathematicsandInformationScience,HenanUniversity,Kaifeng475001,China

出　　处：《Chinese Quarterly Journal of Mathematics》2004年第1期63-66,共4页数学季刊（英文版）

基　　金：Supported by the Education Commission of Henan Province(20021100002); Supported by the NSF of Henan University(200110475028)

摘　　要：In this paper,the higher dimensional conjecture on Veronese generating subman-ifolds proposed by Prof. SUN Zhen-zu is generalized to Pseudo-Euclidean Space L1(m+1), it is proved that in the higher dimentional Lorentz Space L1(m+1), the generating submanifolds of an n dimentional submanifold of Pseudo-Riemannian unit sphere S1m is an n+1 dimentional minimal submanifold of S1(m+1) in L1(m+2) and is of 1-type in L1(m+2).

关 键 词：finit type submanifolds minimal submanifolds Veronese generating submani folds 

分 类 号：O186.1[理学—数学]