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- centroaffine hypersurface 中心仿射超曲面
- The general event horizon formula of black hole is given from null hypersurface equation. 从零曲面方程出发 ;导出了黑洞视界面的普遍公式 .
- Multi-condimensional submanifold is a difficultly problem in the study, and this paper investigates the integration formula of centroaffine differential geometry of codimension 2. 高余维子流形是仿射微分几何中难于处理的问题，鉴此，主要研究在余维数为2的情况下，中心仿射微分几何的积分公式.
- The former is described by a few equations, whereas the latter requires the specification of vast amounts of initial data on some hypersurface. 前者只包含了几个方程式，而后者却需要在某个超曲面（hypersurface）上，给定一大堆初始资料。
- It shows that there are similarities between the role of the link of a hypersurface singularity and the space of directions of a singularity in an Alexandrov space. 证明超曲面奇点的链环与亚历山大洛夫空间的奇点的方向空间有一些相似之处.
- In this paper,an intrinsic condition for a Compact Space-like hypersurface with constant scalar curvature in a de Sitter space to be totally umbilical is obtained. 在这篇文章中;讨论了具有常数量曲率的拟紧致超曲面;并给出了它是全脐子流形的一个全脐条件.
- In this paper, an intrinsic condition for a Compact Space-like hypersurface with constant scalar curvature in a de Sitter space to be totally umbilical is obtained. 摘要在这篇文章中，讨论了具有常数量曲率的拟紧致超曲面，并给出了它是全脐子流形的一个全脐条件。
- In this paper , a rigidity theorem of hypersurface in real space form will begiven.In addition, we obtain rigidity theorems of submanifold in sphere which improvethe result of Hou and Xu. 本文给出实空间形式中超曲面的一个刚性定理，同时也得到求面中子流形的刚性结果.
- In this paper, a rigidity theorem of hypersurface in real space form will be given.In addition, we obtain rigidity theorems of submanifold in sphere which improve the result of Hou and Xu. 摘要本文给出实空间形式中超曲面的一个刚性定理，同时也得到求面中子流形的刚性结果。
- Finally, it gives an example that generating regular 3D spatial dataset based on the interpolation of hypersurface spline, it testifies the feasibility and veracity of this method. 最后以插值形成三维空间规则数据场为例，证明利用超曲面样条函数法进行三维空间插值的可行性和准确性。
- Let S be the second fundamental form of a closed hypersurface which is minimally immersed in a unit sphere.The question whether the value of S is discrete has been attractive for a long time. 摘要单位球面中极小浸入闭超曲面的第二基本形式S的可取值是否离散一直是受关注的问题。
- It mainly deals with the properties for the principal curvatures of the hypersurface and gets two sufficient conditions under which S has a second gap.Also estimates for the gap s length are obtained. 通过对此超曲面主曲率的研究，给出了S的可能值存在第二空隙的两个充分条件，并分别估计了在这些条件下的空隙长度。
- parabolic quadratic hypersurface 抛物型二次超曲面
- A CHARACTER OF CONVEX HYPERSURFACE IN EUCLID SPACE 欧氏空间凸超曲面的一个特征
- hypersurface with constant mean curvature 常平均曲率超曲面
- The complete hypersurfaces with constant mean curvature in locally symmatric manifold are investigated, a characteristric theorem of complete hypersurface in locally symmatric manifold is obtained. 研究局部对称黎曼流形中的具有常中曲率的完备超曲面,得到了这类曲面全脐的一个结果。
- The Distributions of Minimal and Minimally convex Points on Hypersurface 超曲面上极小与极小凸点的分布
- Normalization of quadric hypersurface equation in n- dimension affine space n维仿射空间中超二次曲面方程的规范化
- Einstein Minimal Hypersurface of Riemainnan Manifold of Constant Curvature 常曲率黎曼流形中的Einstein极小超曲面
- Conicoid n 1 Hypersurface and Their Properties for Euclidean N space R n N维欧氏空间R~n上2次n-1维流形及性质
