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.
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.
本文研究了伪黎曼空间型中具有常平均曲率的类空子流形，得到了这类空子流形的一个积分不等式及刚性定理。
This paper discusses the space-like submanifolds with constant mean curvature in a pseudo-Riemannian space form, and obtain an integrate inequality and a rigidity theorem.
研究拟常曲率黎曼流形中具有平行平均曲率向量的紧致子流形。
The compact submanifolds in quasi constant curvature Riemannian manifolds with Parallel Mean Curature Vector were studied.
本文定义了伪黎曼空间型中的旋转超曲面，并给出其参数表达式及主曲率计算公式。
Rotation hypersurfaces in pseudo-Riemannian space forms are defined and their explicit parametrizations are given in the present paper, and their principal curvatures are computed.
爱因斯坦流形是特殊的一种黎曼流形，它有很好的特征，其定义弱于常曲率黎曼流形。
Einstein manifold is a particular kind of Riemannian manifold, it has good characters, its definition is weaker than Riemannian manifold with constant sectional curvature.
讨论特殊半对称联络的黎曼流形，给出了该流形曲率张量的一个代数结构。
In the present paper, the algebra property of Riemannian manifold which is contained some special semi symmetric connection is given.
曲率是黎曼几何中的热门研究课题。
Positive curvature has been a frequent subject in Riemannian geometry.
使得对拟常曲率黎曼流形中紧致子流形的研究由极小子流形和伪脐子流形情形扩展到具有平行平均曲率向量的情形。
The work makes the study of compact submanifolds in quasi constant curvature Riemannian manifolds extend from the especial case to general case.
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。
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。
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.
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