CR submanifolds in a sphere and their Gauss maps  

作　　者：CHENG XiaoLiang JI ShanYu LIU WeiMing 

机构地区：[1]Department of Mathematics,Jilin Normal University [2]Department of Mathematics,Capital Normal University [3]Department of Mathematics,University of Houston [4]Department of Mathematics and Physics,Beijing Institute of Petrochemical Technology

出　　处：《Science China Mathematics》2013年第5期1041-1049,共9页中国科学：数学（英文版）

摘　　要：The relationship between CR submanifolds in a sphere and their Gauss maps are investigated.Let V be the image of a sphere by a rational holomorphic map F with degree two in another sphere.It is show that the Gauss map of V is degenerate if and only if F is linear fractional.The relationship between CR submanifolds in a sphere and their Gauss maps are investigated. Let V be the image of a sphere by a rational holomorphic map F with degree two in another sphere. It is show that the Gauss map of V is degenerate if and only if F is linear fractional.

关 键 词：CR submanifold Gauss maps 

分 类 号：O186.12[理学—数学]