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382907

On spacelike equiform-Bishop Smarandache curves on S2 1

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Last updated: 31 Dec 2024

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Abstract

In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully
on S21 in Minkowski 3-space R31. By using this frame, we investigate the equiform-Bishop
Frenet invariants of special spacelike equiform-Bishop Smarandache curves of a
spacelike base curve in R31. Furthermore, we study the geometric properties of these
curves when the spacelike base curve r is specially contained in a plane. Finally, we give
a computational example to illustrate these curves

DOI

10.1186/s42787-019-0009-x

Keywords

Smarandache curve, Equiform Frenet frame, Bishop frame, Minkowski3-space

Authors

First Name

E.

Last Name

Solouma

MiddleName

M.

Affiliation

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

Email

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Orcid

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First Name

W.

Last Name

Mahmoud

MiddleName

M.

Affiliation

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

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Volume

27

Article Issue

1

Related Issue

50652

Issue Date

2019-12-01

Receive Date

2024-09-30

Publish Date

2019-12-01

Page Start

1

Page End

17

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 27_Issue 1_Pages 1-17.pdf

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Link

https://joems.journals.ekb.eg/article_382907.html

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https://joems.journals.ekb.eg/service?article_code=382907

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Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On spacelike equiform-Bishop Smarandache curves on S2 1

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Article

Created At

21 Dec 2024