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139330

Relative convex body in Euclidean and hyperbolic spaces

Article

Last updated: 05 Jan 2025

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Abstract

This paper is to generalize the concept of convex body to the so called relative convex
body in Euclidean space 𝐸􀯡 . Some geometrical and topological properties for this kind of sets are
discussed. Some properties of the central projection map(Beltrami map) introduced to discuss these
concepts in the hyperbolic space 𝐻􀯡 ..

DOI

10.21608/djs.2017.139330

Keywords

Relative convexity, relative open (closed) sets, relative convex body and relative convex surface

Authors

First Name

H. K.

Last Name

El-sayied

MiddleName

-

Affiliation

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

Email

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City

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Orcid

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First Name

M.

Last Name

Swealam

MiddleName

-

Affiliation

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

Email

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City

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Orcid

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First Name

Doaa Mohammed

Last Name

El-sayed

MiddleName

-

Affiliation

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

Email

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City

-

Orcid

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Volume

38

Article Issue

1

Related Issue

20623

Issue Date

2017-06-01

Receive Date

2021-01-13

Publish Date

2017-06-01

Page Start

1

Page End

6

Print ISSN

1012-5965

Online ISSN

2735-5306

Article File

DJS_Volume 38_Issue 1_Pages 1-6.pdf

PDF . 837.9kB

Link

https://djs.journals.ekb.eg/article_139330.html

Detail API

https://djs.journals.ekb.eg/service?article_code=139330

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Type

Research and Reference

Type Code

1,686

Publication Type

Journal

Publication Title

Delta Journal of Science

Publication Link

https://djs.journals.ekb.eg/

MainTitle

Relative convex body in Euclidean and hyperbolic spaces

Details

Type

Article

Created At

23 Jan 2023