1) space-like submanifold
类空子流形
1.
Complete space-like submanifolds with parallel mean curvature vector in de Sitter spaces
de Sitter空间中具有平行平均曲率向量的完备类空子流形
2.
It is proved that if an n-dimensional compact space-like submanifold immersed in de Sitter space satisfies some condition,then Yang-Mills fields is vanishing.
将Bourguigonon和Lawson的球面上的孤立性现象推广到de Sitter空间中的n维紧致类空子流形上,得到了当紧致类空子流形满足某一条件时,则Yang-Mills场消失。
3.
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.
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。
2) space like submanifold
类空子流形
1.
In this paper, we consider complete space like submanifolds of a pseudo Riemannian space of constant curvature, the result of Toru Ishihara is generalized.
讨论常曲率伪黎曼空间的完备类空子流形，得到这种子流形的第二基本形式的长度平方的一个有界性条件，并考察其成为全脐子流形的ｐｉｎｃｈｉｎｇ问题。
3) totally real space-like submanifold
全实类空子流形
1.
and M be an n-dimensional complete totally real space-like submanifold isometrically immersed in Nn (c).
设Ｎ￣ｎ（ｃ）是复ｎ维带有指标为ｎ的常全纯截面曲率为ｃ的复空间型，Ｍ是等距浸入在Ｎ￣ｎ（ｃ）中实ｎ维完备的全实类空子流形。
4) pseudoumbilical spacelike submanifold
伪脐类空子流形
5) maximal space-like submanifold
极大类空子流形
1.
The paper gives some conditions that a 2-harmonic space-like submanifole of a pseudo-Riemannian manifold of negative constant curvature is a maximal space-like submanifold.
用活动标架法给出了负常曲率的伪黎曼流形的 2 -调和子流形成为极大类空子流形的充分条件。
6) complete space-like submanifolds
完备类空子流形
1.
In this note,we correct some errors in the relative paper"Complete Space-like Submanifolds in de Sitter Space with Paralled Mean Curvature Vector"and obtain a rigidity theorem on complete space-like submanifolds with paralled mean curvature vector in de Sitter space.
本文纠正了论文"de Sitter空间中具有平行中曲率的完备类空子流形"证明中的一些失误,证明了de Sitter空间中具有平行中曲率的n维完备类空子流形的—个刚性定理。
补充资料：拖空子
1.受累亏空。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条