Structure and characterization of ruled surfaces in Euclidean 3-space
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摘要
In this paper, using the elementary method we study ruled surfaces, the simplest foliated submanifolds, in Euclidean 3-space. We define structure functions of the ruled surfaces, the invariants of non-developable ruled surfaces and discuss geometric properties and kinematical characterizations of non-developable ruled surface in Euclidean 3-space.
论文关键词：Ruled surface,Structure function,Pitch function,Angle function of pitch,Weingarten surface,Binormal ruled surface
论文评审过程：Available online 24 February 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.02.006
