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384528

Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E3 1

Article

Last updated: 31 Dec 2024

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Abstract

Equiform geometry is considered as a generalization of the other geometries. In this
paper, involute and evolute curves are studied in the case of the curve α is an equiform
spacelike with a timelike equiform principal normal vector N. Furthermore, the
equiform frames of the involute and evolute curves are obtained. Also, the equiform
curvatures of the involute and evolute curves are obtained in Minkowski 3-space.

DOI

s42787-020-00086-4

Keywords

Minkowski 3-space, Involute, Evolute, Equiform geometry, Equiform curvatures

Authors

First Name

A.

Last Name

Elsharkawy

MiddleName

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Affiliation

Mathematics Department, Faculty of Science Tanta University, Tanta, Egypt

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Volume

28

Article Issue

1

Related Issue

50535

Issue Date

2020-06-01

Receive Date

2024-10-07

Publish Date

2020-06-01

Page Start

1

Page End

10

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_384528.html

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https://joems.journals.ekb.eg/service?article_code=384528

Order

384,528

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

Generalized involute and evolute curves of equiform spacelike curves with a timelike equiform principal normal in E3 1

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Article

Created At

21 Dec 2024