Lie triple systems were introduced in connection with the symmetric space and the totallygeodesic submanifold.
李三系最初源于对称空间及全测地子流形的研究。
2
As an algebraic system, Lie triple systems arise upon consideration of certain sub-spaces of Riemannian manifolds, the totallygeodesic submanifolds.
李三系作为一种代数体系，最初源于对黎曼流形的一类特殊子空间——全测地子流形的研究。
3
In this paper, the authors give the globally classfication of the maximal totallygeodesic submanifolds with maximal rank of normal Riemannian symmetric Spaces by computing the fundamental group.