摘要
三维欧氏空间中完备的常曲率曲面的形状是相当明确的［１］，然而从局部微分几何观点来看完全确定其形状是困难的．从局部观点给出了几类特殊曲面中的常曲率曲面的方程或确定它们的形状．
The shape of an adequate surface of constant curvature in 3-dimension Euclideanspace is definite,however,to determine it from the viewpoint of diffrential geometry is difficult.Some equations of the surfaces of constant curvature in some special classes of surfaces and the determination of their shapes are given from the local viewpoint.
出处
《山东师范大学学报（自然科学版）》
CAS
1996年第1期17-19,共3页
Journal of Shandong Normal University(Natural Science)
关键词
直纹面
螺旋面
平行曲面
常曲率曲面
surface of constant mean curvature
ruled surface
helicoid
parallel surface
