共形空间中的Blaschke全脐子流形  

Blaschke umbilical submanifolds in the conformal space

作　　者：章左 聂昌雄[1] ZHANG Zuo NIE Changxiong(Faculty of Mathematics and Statistics, Hubei University, Wuhan 430062, Chin)

机构地区：[1]湖北大学数学与统计学学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2017年第4期417-422,436,共7页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(11571037)资助

摘　　要：在共形群下的完全不变量体系下讨论4种共形不变量之间的关系,并在共形等价意义下分类一些特殊子流形.Since professor changping wang has established the conformal differential geometry theory of submanifolds based on the nature of the conformal differential geometry and submanifolds are obtained under the conformal group fully invariant system. Conformal differential geometry research made greater progress. In this case,we discussed the relationship between the four kinds of conformal invariant,we classified some kinds of special submanifolds under the conformal equivalence.

关 键 词：共形空间 共形不变量 常数量曲率 Blaschke全脐子流形 Blaschke拟全脐子流形 

分 类 号：O186.1[理学—数学]