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几类特殊曲面中的常曲率曲面
引用本文:于纯孝.几类特殊曲面中的常曲率曲面[J].山东师范大学学报(自然科学版),1996,11(1):17-19.
作者姓名:于纯孝
作者单位:山东师范大学数学系
摘    要:三维欧氏空间中完备的常曲率曲面的开头是相当明确的,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。

关 键 词:直纹面  螺旋面  平行曲面  常曲率曲面

SURFACES OF CONSTANT CURVATURE IN SOME SPECIAL CLASSES OF SURFACES
Yu Chunxiao.SURFACES OF CONSTANT CURVATURE IN SOME SPECIAL CLASSES OF SURFACES[J].Journal of Shandong Normal University(Natural Science),1996,11(1):17-19.
Authors:Yu Chunxiao
Abstract: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.
Keywords:surface of constant mean curvature  ruled surface  helicoid  parallel surface  
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