通过计算全测地子流形的基本群，确定了紧正规黎曼对称空间的极大的极大秩全测地子流形的整体分类。

In this paper, the authors give the globally classfication of the maximal totally geodesic submanifolds with maximal rank of normal Riemannian symmetric Spaces by computing the fundamental group.

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利用黎曼对称空间同正交对称李代数之间的密切关系及一个矩阵不等式给出了一个复流形上截面曲率的上界的精确估计。

We used the relationship of the Riemann symmetric space and the symmetric algebra, a matrix inequality to provided a estimate sectional curvature of a complex manifold.

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它进一步说明一个四元流形的截面曲率的估计对许多对称黎曼空间都是有效的。

It proves that the estimate sectional curvature of a quaternion manifold is very useful for Riemann symmetric space.

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它进一步说明一个四元流形的截面曲率的估计对许多对称黎曼空间都是有效的。

It proves that the estimate sectional curvature of a quaternion manifold is very useful for Riemann symmetric space.

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