Singularities of Non-Developable Surfaces in Three-Dimensional Euclidean Space

Jie Huang and Donghe Pei
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Jie Huang: School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
Donghe Pei: School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Mathematics, 2019, vol. 7, issue 11, 1-11

Abstract: We study the singularity on principal normal and binormal surfaces generated by smooth curves with singular points in the Euclidean 3-space. We discover the existence of singular points on such binormal surfaces and study these singularities by the method of singularity theory. By using structure functions, we can characterize the ruled surface generated by special curves.

Keywords: principal normal surface; binormal surface; structure functions; singular points (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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