1) Pseudo complex space form
伪复空型
1.
This paper discussed the constant principal curvature of real hypersurfaces of Pseudo complex space form PC n+1 1 (C 1?C 2?k), proved that there are only two different constant principal curvature of Pseudo navel hypersurface as K is constant.
本文主要讨论伪复空型 PCn+1 1 ( C1 ,C2 ,k)的实超曲面的主曲率 ,证明了 k为常数时伪脐超曲面有且仅有两个不同的常主曲
2) Pseudoparabolic Complex Equation
伪抛物型复方程
3) pseudo-Riemannian space form
伪黎曼空间型
1.
A special kind of existence problem of Weingarten hypersurfaces in pseudo-Riemannian space form is investigated in this paper.
本文研究伪黎曼空间型中一类特殊的Weingarten超曲面的存在性问题。
2.
Space-like submanifolds with constant scalar curvature in a Pseudo-Riemannian space form was studied.
研究了伪黎曼空间型中具有常数量曲率的类空子流形,通过构造一个自共轭的微分算子,建立了该微分算子与第二基本形式模长平方的拉普拉斯之间的关系;讨论了该类子流形的一些性质,获得了使此子流形成为全脐子流形的一个条件;得到了关于第二基本形式模长平方的一个积分不等式。
3.
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.
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。
4) complex space form
复空间型
1.
First, we obtain the condition that a submanifold is a flat manifold or CR - product on the condition that peripheral space is a complex space form.
首先考虑外围空间是复空间型的情形,得到了子流形是平坦流形或CR—乘积的条件,进一步考虑外围流形为更一般的不定复空间型,得到了它的子流形是全纯子流形和类空全纯子流形的条件。
2.
This paper studies totally real surfaces with parallel mean curvature vector in a 2 dimensional complex space form by use of f(x)= max u,v∈U xM‖B(u,u)-B(v,v)‖ 2,and obtains two Pinching theorems for totally umbilical submanifold.
主要利用函数 f(x) =maxu,v∈ Ux M‖B(u,u) -B(v,v)‖ 2研究具有平行平均曲率向量的二维复空间型的全实曲面 ,并得到关于全脐点子流形的 Pinching定
5) Complex vacancy
复合型空位
6) binary complex space form
双相复空型
1.
A special kind of Bochner-Kaehler manifolds——binary complex space form is defined in this paper, and its curvature tensor R and some geometric properties is discussed.
定义了一类特殊的Bochner-Kachler流形——双相复空型,讨论它的曲率张量表达式和一些几何特征,并给出了具体例子。
补充资料：空伪
1.谓徒有虚名。
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