Study on hypersurface with constant mean curvature in sphere;
介绍了具有常数平均曲率的超曲面的稳定性概念。
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。
It is essential to study the principal curvature of hypersurface in the hypersurface geometry.
在超曲面几何学中，对主曲率的研究是至关重要的。
Using the principal curvature formula, we prove an existence theorem of Weingarten hypersurface.
并利用主曲率计算公式证明了W-超曲面的一个存在性定理。
The contributions in the first part are as follows:1) The existence of separating hypersurface and the geometric construction of separating hypersurface is studied.
研究了分类超曲面的存在性与几何构造法，并提出了基于几何超曲面的分类方法。
Four reasonable geometries on the potential energy hypersurface of glycine and water system are considered with the global minimum being a cyclic double-hydrogen bonded structure.
在这个体系中，我们找到了甘氨酸和水作用的四种稳定构型，其中最稳定的构型是一个环状的双氢键结构。
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。
At last the complete hypersurface with constant mean curvature in the quasi constant curvature space is investigated, some characterization of totally umbilical hypersurfaces are obtained.
最后研究了常平均曲率完备超曲面，得到了这类超曲面全脐的一个结果。
At last the complete hypersurface with constant mean curvature in the quasi constant curvature space is investigated, some characterization of totally umbilical hypersurfaces are obtained.
最后研究了常平均曲率完备超曲面，得到了这类超曲面全脐的一个结果。
应用推荐