Minimal symmetric submanifolds in compact Riemannian symmetric spaces  

作　　者：LIANG Ke 1 and JIN Quanqin 1,2 1. Department of Mathematics, Nankai University, Tianjin 300071, China 2. Department of Mathematics, Hebei University, Baoding 071002, China 

出　　处：《Chinese Science Bulletin》1998年第21期1786-1789,共4页

基　　金：ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .197310 0 4)andtheNaturalScienceFoundationofHebeiProvince

摘　　要：A necessary and sufficient condition for a symmetric submanifold to be minimal in its ambient compact Riemannian symmetric space is given. By this condition a complete classification of non- minimal symmetric submanifolds in compact symmetric spaces is obtained.A necessary and sufficient condition for a symmetric submanifold to be minimal in its ambient compact Riemannian symmetric space is given. By this condition a complete classification of nonminimal symmetric submanifolds in compact symmetric spaces is obtained.

关 键 词：SYMMETRIC space SYMMETRIC SUBMANIFOLD mean CURVATURE vector. 

分 类 号：O186.1[理学—数学]