Pedal Curves of Non-Lightlike Curves in Minkowski 3-Space-Reference-Cited by-同舟云学术

Pedal Curves of Non-Lightlike Curves in Minkowski 3-Space

Published:2022-01-02 Issue:1 Volume:14 Page:59
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Li Meixuan^ORCID,Yao Kaixin^ORCID,Li Pengcheng^ORCID,Pei Donghe^ORCID

Abstract

We study the notions of pedal curves, contrapedal curves and B-Gauss maps of non-lightlike regular curves in Minkowski 3-space. Then we establish the relationships among the evolutes, the pedal and contrapedal curves. Moreover, we also investigate the singularities of these objects. Finally, we show some examples to comprehend the characteristics of the pedal and contrapedal curves in Minkowski 3-space.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/14/1/59/pdf

Reference25 articles.

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4. Involute–evolute and pedal–contrapedal curve pairs on S 2

5. The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space

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