经典微分几何研究三维欧氏空间中曲线曲面理论，其最具有特色的研究是主曲率函数满足某些关系的魏因加吞曲面。
In the classical differential geometry which deals with the theory of curves and surfaces of three dimensional Euclidean space, the most distinctive study is the Weingarten surface.
在超曲面几何学中，对主曲率的研究是至关重要的。
It is essential to study the principal curvature of hypersurface in the hypersurface geometry.
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。
Using the principal curvature formula, we prove an existence theorem of Weingarten hypersurface.
由于给定主曲率函数的嵌入旋转曲面存在性已得到较好证明，故使得曲面的设计成为可能。
Since the existence of embedded rotation surface with given principal curvature function is well proofed, the design and modeling of the surface becomes possible.
本文提出一种直接在点采样曲面上计算曲面的高斯曲率、平均曲率及主曲率等局部微分性质的方法。
An approach is proposed to estimate several differential properties, including Gaussian curvature, mean curvature and main curvature on point-sampled surfaces in presence of noise.
本文定义了伪黎曼空间型中的旋转超曲面，并给出其参数表达式及主曲率计算公式。
Rotation hypersurfaces in pseudo-Riemannian space forms are defined and their explicit parametrizations are given in the present paper, and their principal curvatures are computed.
本文定义了伪黎曼空间型中的旋转超曲面，并给出其参数表达式及主曲率计算公式。
Rotation hypersurfaces in pseudo-Riemannian space forms are defined and their explicit parametrizations are given in the present paper, and their principal curvatures are computed.
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