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Open AccessArticle

Singular Special Curves in 3-Space Forms

School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
Author to whom correspondence should be addressed.
Mathematics 2020, 8(5), 846;
Received: 1 May 2020 / Revised: 17 May 2020 / Accepted: 19 May 2020 / Published: 23 May 2020
(This article belongs to the Special Issue Differential Geometry: Theory and Applications)
We study the singular Bertrand curves and Mannheim curves in the 3-dimensional space forms. We introduce the geometrical properties of such special curves. Moreover, we get the relationships between singularities of original curves and torsions of another mate curves. View Full-Text
Keywords: Bertrand curves; Mannheim curves; space forms; singularities Bertrand curves; Mannheim curves; space forms; singularities
MDPI and ACS Style

Huang, J.; Pei, D. Singular Special Curves in 3-Space Forms. Mathematics 2020, 8, 846.

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