Generalized Bertrand Curves in Minkowski 3-Space

Chunxiao Zhang and Donghe Pei
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Chunxiao Zhang: 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, 2020, vol. 8, issue 12, 1-11

Abstract: We define a generalized lightlike Bertrand curve pair and a generalized non-lightlike Bertrand curve pair, discuss their properties and prove the necessary and sufficient condition of a curve which is a generalized lightlike or a generalized non-lightlike Bertrand curve. Moreover, we study the relationship between slant helices and generalized Bertrand curves.

Keywords: lightlike Bertrand curves; non-lightlike Bertrand curves; generalized Bertrand curves pair (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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