| 1. | On the scalar curvature equation on rn
上的纯量曲率方程 |
| 2. | Complete space - like hypersurfaces with constant scalar curvature in lorentz spaces
空间中的具有常数量曲率的完备类空超曲面 |
| 3. | We prove the existence of a new kind of solutions for the scalar curvature equation in r ( superscript n )
摘要我们证明在r (上标n )上纯量方程某种新解的存在性。 |
| 4. | Theorem 1 . 4 let m be a hypersurface with non - zero constant scalar curvature in rn + l spanning a sphere sn - 1 ( r ) . if its gauss image lies in the semisphere , then m is a hypersphere cap
)为边界的紧致常纯量曲率(非零)超曲面，如果其高斯映照像落在一个以s ~ ( n - 1 ) ( r )为边界的半球面内，则m只有超球面盖。 |
| 5. | In chapter one , we investigate the influence of the boundary on the shape of the space - like hypersurface with constant mean curvature or constant scalar curvature in the lorentz - minkowski space ln + 1
第一章对于lorentz - minkowski空间中的常平均曲率或常纯量曲率的类空超曲面，探讨了边界对超曲面形状的影响。 |
| 6. | This paper contains three chapters . we discuss the pinching problems on the length of the second fundamental form of compact space - like submanifolds mn with unit parallel mean curvature vector in the de sitter space spn + p . in particular , a sufficient condition for mn with constant scalar curvature to be totally umbilical is given
讨论desitter空间s _ p ~ ( n + p )中具有平行的单位平均曲率向量的紧致类空子流形m ~ n的第二基本形式长度拼挤问题，给出了具有常数量曲率的这种子流形是全脐球面的一个充分条件。 |
