TOTALLY REAL TOTALLY GEODESIC SUBMANIFOLDS OF COMPACT 3-SYMMETRIC SPACES
TOTALLY REAL TOTALLY GEODESIC SUBMANIFOLDS OF COMPACT 3-SYMMETRIC SPACES
复制标题
紧三对称空间的全实全测地线子流形
DOI：
--
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
K. Tojo
中科院分区：
文献类型：
--
作者：
K. Tojo
.证明了紧致黎曼3-对称空间的半维全真实的全测地子流形表示为周围流形的等距群的李群的轨道。此外，我们还将这样的子流形与第二类分次李代数联系起来。
. We prove that a half dimensional, totally real and totally geodesic submani- fold of a compact Riemannian 3-symmetric space is expressed as an orbit of a Lie subgroup of the isometry group of the ambient manifold. Moreover, we associate such submanifolds with graded Lie algebras of the second kind.