常曲率曲面 constant curvature，surface of 总曲率（或高斯曲率）在整个曲面上为常数的曲面。总曲率是曲面的两个主曲率的乘积。常数平均曲率曲面是其平均曲率在整个曲面上为常数的曲面，在这里平均曲率定义为主曲率的平均值，半径为r的球面有常数总曲率1／r2和常数平均曲率2／r。
从负常曲率曲面导出了两个非线性演化方程，并给出了这些方程的解之间的等价变换。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
据此得出直纹和负常曲率两类曲面可作为犁体曲面的基本模型。
Based on this foundation, basic models of plow-bottom surface are ruled surface and negative constant curvature surface.
给出了拟常曲率流形中极小曲面的共形度量的高斯曲率之上界估计。
Some estimates of Gaussian curvature of conformal metric of mini mal surfaces immerse in the manifold of quasi-constant curvature were obtained.
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