spacelike

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。

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。

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。