Grassmann geometry on symmetric spaces

被引：0
|
作者：
Jin, QQ [1 ]
机构：
[1] Hebei Univ, Dept Math, Baoding 071002, Peoples R China
[2] Nankai Univ, Dept Math, Tianjin 300071, Peoples R China
来源：
CHINESE SCIENCE BULLETIN | 1999年 / 44卷 / 01期
基金：
中国国家自然科学基金;
关键词：
symmetric spaces; Grassmann geometry; Cartan decomposition; orthogonal symmetric Lie algebra; totally geodesic submanifold;
D O I：
10.1007/BF03182881
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
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.
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页码：41 / 44
页数：4
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