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383459

On involute-evolute curve couple in the hyperbolic and de Sitter spaces

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Last updated: 05 Jan 2025

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Abstract

This paper aims at showing that Frenet apparatus of an evolute curve can be formed in
terms of Frenet apparatus of its involute curve in the hyperbolic (de Sitter) space. Also,
we establish relationships among Frenet frame of the considered curve couple. Finally,
we defray some examples to confirm our main results.

DOI

10.1186/s42787-019-0023-z

Keywords

Frenet frames, Involute-evolute curves, Hyperbolic space

Authors

First Name

H.

Last Name

Abdel-Aziz

MiddleName

S.

Affiliation

Department of Mathematics, Faculty of Science, Sohag University, Naser Street, Sohag, 82524, Egypt

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First Name

M.

Last Name

Saad

MiddleName

Khalifa

Affiliation

Department of Mathematics, Faculty of Science, Sohag University, Naser Street, Sohag, 82524, Egypt , Department of Mathematics, Faculty of Science, Islamic University of Madinah, 170 Madinah, Kingdom of Saudi Arabia

Email

-

City

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Orcid

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First Name

A.

Last Name

Abdel-Salam

MiddleName

A.

Affiliation

Department of Mathematics, Faculty of Science, Sohag University, Naser Street, Sohag, 82524, Egypt

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Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-10-02

Publish Date

2019-12-01

Page Start

1

Page End

18

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 27_Issue 1_Pages 1-18.pdf

PDF . 838.5kB

Link

https://joems.journals.ekb.eg/article_383459.html

Detail API

https://joems.journals.ekb.eg/service?article_code=383459

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383,459

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Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On involute-evolute curve couple in the hyperbolic and de Sitter spaces

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Article

Created At

21 Dec 2024