2) space-like hypersurface
类空超曲面
1.
Complete space-like hypersurfaces with constant mean curvature in locally symmetric Lorentz spaces
局部对称Lorentz空间中具有常平均曲率的完备类空超曲面
2.
Let Ln+11 be a locally symmetric Lorentzian manflold with sectional curvature KL satisfying the condition b2<a≤KL≤b and M be an complete space-like hypersurface with constant mean curvature H in Ln+11,the square of the norm of the second fundamental form of M is denoted by S,λ1,λ2,…,λn are the principal curvatures at point x of M.
设Ln1+1是截面曲率KL满足b/2完备类空超曲面,S是M的第二基本形式模长平方,λ1,λ2,…,λn是M在点x处的n个主曲率。
3.
In this paper,we study complete space-like hypersurfaces with constant normal scalar curvature in a locally symmetric Lorentz space satisfying some curvature conditions.
讨论了在局部对称Lorentz空间中的具有常标准数量曲率的满足一定曲率条件的完备类空超曲面,利用Cheng S Y和Yau S T介绍的自伴随算子L1,得到了一个分类定理。
3) spacelike hypersurface
类空超曲面
1.
Semi-symmetric spacelike hypersurfaces in De Sitter space;
De Sitter空间中半对称的类空超曲面
2.
The uniqueness theorem of spacelike hypersurface in multi-warped spacetimes and its applications;
多重扭曲时空中类空超曲面的唯一性定理及其应用
3.
On the volume and Gauss map of spacelike hypersurfaces in generalized Robertson-Walker sapcetimes
广义Robertson-Walker时空中类空超曲面的体积与Gauss映照
4) space-like hypersurfaces
类空超曲面
1.
Compact space-like hypersurfaces with constant scalar curvaturein locally symmetric de Sitter space;
局部对称de Sitter空间中的紧致类空超曲面
2.
Complete space-like hypersurfaces with constant scalar curvature in a De Sitter space;
De Sitter空间中具常数量曲率的完备类空超曲面
3.
The resarch studies the space-like hypersurfaces with constant square of length of second fundamental form in locally symmetric Lorentz spaces,Some sufficient conditions for the hypersurfaces to be totally umbilical are obtained.
研究局部对称Lorentz空间中第二基本形式模长平方是常数的类空超曲面,获得了这类超曲面是全脐的若干充分条件。
5) spacelike hypersurfaces
类空超曲面
1.
In this paper,we show that the only complete spacelike hypersurfaces with constant mean curvature in Lorentz-Minkowski space which are bounded be- tween two concentric hyperbolic cylinders are the hyperbolic cylinders,i.
对于常高阶平均曲率的情况,如果截曲率有下界,那么介于两个同心伪球面之间的完备类空超曲面必为伪球面。
6) rotational spacelike hypersurface
旋转类空超曲面
1.
The paper gives the position vector field of the rotational spacelike hypersurface in Lorentz-Minkowski space.
给出(n,1)型Lorentz-Minkowski空间中给定主曲率函数的旋转类空超曲面的位置向量场,通过计算超曲面的主曲率,证明了这类超曲面的存在性。
补充资料：完备
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