Conjugate mates for non-null Frenet curves

Conjugate mates for non-null Frenet curves

For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove some relationships between a non-null Frenet...

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Bibliographic Details
Main Author: Alev Kelleci
Format: Article
Language:English
Published: Sakarya University 2019-08-01
Series:Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Subjects:
slant helix
conjugate mate
general helix
adjoint curve
salkowski curve
anti-salkowski curve
Online Access:https://dergipark.org.tr/tr/download/article-file/649091
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Summary:For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove some relationships between a non-null Frenet curve and its non-null conjugate mate.
ISSN:2147-835X

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