1) spacelike plane
类空平面
2) timelike(spacelike) plane
类时(空)平面
3) spacelike surface
类空曲面
1.
In Minkowski space R~(3,1) by employing the method of moving frames to describe construcions and to make local calculations,the equations about asymptotic direction and asymptotic curve of spacelike surface are obtained,and some corresponding results obtained before are extended and improved.
考虑Minkowski空间R3,1中类空曲面的渐近方向与渐近曲线,采用活动标架的方法进行局部计算和整体结构的刻画,得到了渐近方向与渐近曲线的一般方程,推广并改进了已有的结果,并通过具体例子加以阐述。
2.
In this paper,we mainly study some properties of spacelike surface in quasi-Euclidean space R~4_2 by given the relation between the Hopf transformation L(h) from the space of real symmetric matrices h=(h_(ij)) onto C and mean curvature vector H ,we also generalize Pinl′s result about Gauss map to R~4_2 .
给出2阶实对称矩阵(h=(hij))空间到C的Hopf变换L(h)与平均曲率向量H满足的条件,讨论了拟欧氏空间R42中的类空曲面的一些性质,并将Pinl关于Gauss映射的一个结果推广到拟欧氏空间R42上。
3.
In this paper we prove the first and the second and the third fundamental forms of a spacelike surface in Minkowski 3-space Satisfy the following equation.
本文将证明在三维Minkowski空间中的类空曲面M2 上的第一、第二、第三基本形式满足KⅠ -2HⅡ +Ⅲ =
4) spacelike surfaces
类空曲面
1.
In this paper,the spacelike surfaces with the null mean curvature of form af(x)+bg(y)+h(z)=0 in the 3-dimensional Minkowski space are discussed then we can gain inverse function on the spacelike surfaces.
讨论三维Minkowski空间L3={R3:dx2 +dy2 -dz2 }中型如af(x) +bg(y) +h(z) =0极大类空曲面 ,得到该曲面的反函数形
5) spacelike section
类空截面
6) space-like surface
类空曲面
1.
Let M be a complete space-like surface in de Sitter space S~(2+p)_p(1)with parallel mean curvature vector H and constant nonnegative curvature,then it is isometric to a sphere or an Euclidean plane or a hyperbolic cylinder in S~3_1(1).
设M为de Sitter空间Sp2+p(1)中具有非负常曲率和平行平均曲率向量的完备类空曲面,则它与S31(1)中的球面、欧氏平面、双曲柱面等距。
补充资料：空类
1.谓言论大而无当﹐不切实际。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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