AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
PDF (337.5 KB)
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Primitivoids of curves in Minkowski plane

Yanlin Li1( )A. A. Abdel-Salam2,3M. Khalifa Saad2,4
School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt
Department of Mathematics, Faculty of Science, NBU of Arar, Arar 1321, KSA
Department of Mathematics, Faculty of Science, Islamic University of Madinah, KSA
Show Author Information

Abstract

In this work, we investigate the differential geometric characteristics of pedal and primitive curves in a Minkowski plane. A primitive is specified by the opposite structure for creating the pedal, and primitivoids are known as comparatives of the primitive of a plane curve. We inspect the relevance between primitivoids and pedals of plane curves that relate with symmetry properties. Furthermore, under the viewpoint of symmetry, we expand these notions to the frontal curves in the Minkowski plane. Then, we present the relationships and properties of the frontal curves in this category. Numerical examples are presented here in support of our main results.

CLC number: 53A35, 53B30

References

【1】
【1】
 
 
AIMS Mathematics
Pages 2386-2406

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Close
Close
Cite this article:
Li Y, Abdel-Salam AA, Saad MK. Primitivoids of curves in Minkowski plane. AIMS Mathematics, 2023, 8(1): 2386-2406. https://doi.org/10.3934/math.2023123

5

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus

Received: 19 August 2022
Revised: 14 October 2022
Accepted: 19 October 2022
Published: 15 January 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)