An existent theorem on spacelike Weingarten hypersurface 关于类空W超曲面的一个存在性定理
Maximal spacelike submanifolds in a pseudo-Riemannian spaces 一般伪黎曼流形中的极大类空子流形
The author discussed a sort of the fully nonlinear second order elliptic equations about the function of eigenvalues of Hessian matrix. Finally, as an application, the Dirichlet problem of spacelike hypersurfaces with prescribed function of principal curvatures in n-Minkowski space is established and solved. 讨论了与Hessian阵本征值函数有关的非线性椭圆型方程.作为应用,对n维Minkowski空间中预定主曲率对称多项式的类空超曲面方程的Dirichlet型问题给出了解的存在性。
Spacelike graph equation in de-Sitter space de-Sitter空间中的类空图方程
H-deformable spacelike and timelike surfaces in 3-dimensional Minkowski space 三维Minkowski空间中H-可形变的类空曲面和类时曲面
Then, the mechanism is discussed on the inspiration thought, it attaches importance to the physical context by means of the spacelike correlation and the theory of dissipative structure based on the second law of generalized thermodynamics. 在广义热力学第二定律的基础上,利用耗散结构理论和类空关联事实,着重从物理学角度讨论了灵感思维的产生机制。
The paper gives the position vector field of the rotational spacelike hypersurface in Lorentz-Minkowski space. After computing the principal curvatures and solving the differential equation system, it proves the existence of the rotational spacelike hypersurface about given principal curvature function 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。
A Pinching Theorem of 2-Harmonic Spacelike Submanifolds in a Class of Lorentz Manifold 一类洛伦兹流形的2-调和类空超曲面的一个拼挤定理
In this paper, we study 2-harmonic spacelike hypersurfaces in a locally symmetric and conformally flat lorentz manifold and obtain a pinching theorem of the class of hypersurfaces to the ambient manifold. 研究局部对称共形平坦洛伦兹流形中的2-调和类空超曲面,得到它对外围空间的一个拼挤定理。
Using the matrix models of 3-dimensional Minkowski space, the author applies the integrable system theory to discuss the deformation properties and integrability on the spacelike surfaces with harmonic inverse mean curvature and the timelike surfaces with Lorentz harmonic inverse mean curvature. 利用可积系统的思想,借助三维Minkowski空间L3的矩阵模型,研究了L3中具有调和逆平均曲率的类空曲面和洛伦兹调和逆平均曲率类时曲面的可积性及其形变。
On the basis of the concept of the dual velocity this paper also discusses the timelike and space-like representations of the timelike and spacelike motions. 利用对偶速度的概念,定义了物质运动的类时表象和类空表象。
Specially, when k ≥ 2 and the generating spaces are spacelike or timelike, they are totally geodesic if and only if they are totally umbilical. 特别,若M的生成空间是类空的或类时的,则当k≥2时,M全测地与全脐等价。
A similar discussion is given on the spacelike maximal surfaces in H_(?)~(?). 对偶地对H1~3中的类空极大曲面作了类似的讨论。
There is a factor which depends on the breaking scale in the formula of angle of deflection of timelike and spacelike test particles in this kind of cold stars. It is a possible observational effect for astrophysics. 对于这类冷天体的类光和类时测试粒子的偏转角公式存在一个依赖于破缺标度的因子。这是一个可能的天体物理观测效应。