Grassmann geometry on symmetric spaces  

作　　者：JIN QuanqinDepartment of Mathematics, Hebei University, Baoding 071002, China Department of Mathematics, Nankai University, Tianjin 300071,China 

出　　处：《Chinese Science Bulletin》1999年第1期41-44,共4页

摘　　要：A duality principle between Grassmann geometries on compact symmetric spaces and those on noncompact symmetric spaces is proved, which greatly facilitates the study of Grassmann geometry on symmetric spaces. Those Grassmann geometries on noncompact symmetric spaces which admit non-totally geodesic submanifold are also determined.A duality principle between Grassmann geometries on compact symmetric spaces and those on noncompact symmetric spaces is proved, which greatly facilitates the study of Grassmann geometry on symmetric spaces. Those Grassmann geometries on noncompact symmetric spaces which admit non-totally geodesic submanifold are also determined.

关 键 词：SYMMETRIC spaces GRASSMANN GEOMETRY CARTAN decomposition orthogonal SYMMETRIC Lie algebra totally GEODESIC submanifold. 

分 类 号：O186.1[理学—数学]