片语

pf submanifoldpf子流形

neat submanifoldIn differential topology, an area of mathematics, a neat submanifold of a manifold with boundary is a kind of well-behaved submanifold. More precisely, let M be a manifold with boundary, and A a submanifold of M.

compact submanifold[数]

minimal submanifold极小子廖

regular submanifold[数]

coldrunner submanifold分冷流道

lagrangian submanifoldlagrangian子流型

open submanifold[数]

Chen submanifoldChen子流形

英汉例句

• 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。

• 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。

• 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。

• 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。

• 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，鑒此，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。

• 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。