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381218

On curvatures and points of the translation surfaces in Euclidean 3-space

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Last updated: 31 Dec 2024

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Abstract

In this paper, translation surfaces generated by two arbitrary space curves in 3-dimensional Euclidean space have been investigated. Furthermore, a classification of some special points
on these surfaces have been given. Moreover, we have obtained the associated geometric attributes
for these surfaces, e.g. the Gaussian curvature and the mean curvature. Finally, some important
results and examples that show the idea were presented.

DOI

10.1016/j.joems.2014.02.007

Keywords

Translation surfaces, Gaussian and mean curvatures, Euclidean 3-space

Authors

First Name

Ahmad T.

Last Name

Ali

MiddleName

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Affiliation

King Abdul Aziz University, Faculty of Science, Department of Mathematics, PO Box 80203, Jeddah 21589, Saudi Arabia , Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, 11884 Cairo, Egypt

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First Name

H.S.

Last Name

Abdel Aziz

MiddleName

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Affiliation

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

Email

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City

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Orcid

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First Name

Adel H.

Last Name

Sorour

MiddleName

-

Affiliation

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

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-23

Publish Date

2015-04-01

Page Start

167

Page End

172

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 167-172.pdf

PDF . 436.2kB

Link

https://joems.journals.ekb.eg/article_381218.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381218

Order

381,218

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

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

MainTitle

On curvatures and points of the translation surfaces in Euclidean 3-space

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Article

Created At

21 Dec 2024