Lie triple systems were introduced in connection with the symmetric space and the totally geodesic submanifold.
李三系最初源于对称空间及全测地子流形的研究。
And then we will see that in the framework of diffeomorphism group the symplectic quotient is torus bundle over the moduli space of special submanifold.
然后，我们将看到微分同胚群作用下的辛商为特殊子流形模空间上的以环面为结构群的丛。
We discuss topologies for complex J-symplectic spaces and prove that each complete J-Lagrangian submanifold of the complex J-symplectic spaces a closed set.
讨论了有限维和无限维复J-辛空间上的拓扑，并证明了复J-辛空间的每一个完全J-Lagrangian子流形都是闭集。
Some estimates of Gaussian curvature of conformal metric of 2-dimensional minimal submanifold immerged in 2 + p-dimensional manifold of quasi-constant curvature were obtained.
给出了拟常曲率流形中二维极小子流形的共形度量的高斯曲率之上界估计。
Multi-condimensional submanifold is a difficultly problem in the study, and this paper investigates the integration formula of centroaffine differential geometry of codimension 2.
高余维子流形是仿射微分几何中难于处理的问题，鉴此，主要研究在余维数为2的情况下，中心仿射微分几何的积分公式。
Sufficient conditions for a simply-connected domain of 2-dimensional minimal submanifold immerged in 2 + p-dimensional manifold of quasi-constant curvature to be stable were proved.
证明了拟常曲率流形中二维极小子流形上一个单连通区域为稳定的充分条件。
In this paper, we get a necessary and sufficient condition for a generalcodimensional submanifold with constant mean curvature in a Riemannian mani-fold to be a totally umbilical submanifold.
本文讨论黎曼流形里一般余维的常数平均曲率的子流形为全脐子流形的充要条件。
By using an inequality relation between a scalar curvature and the length of the second fundamental form, it is proved that sectional curvatures of a submanifold must be nonnegative (or positive).
利用数量曲率与第二基本形式长度之间的一个不等式关系，证明了其子流形的截面曲率一定非负(或者为正)，并将此应用到紧致子流形上，得到一些结果。
By using an inequality relation between a scalar curvature and the length of the second fundamental form, it is proved that sectional curvatures of a submanifold must be nonnegative (or positive).
利用数量曲率与第二基本形式长度之间的一个不等式关系，证明了其子流形的截面曲率一定非负(或者为正)，并将此应用到紧致子流形上，得到一些结果。
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