Mannheim curves and their partner curves in Minkowski 3-space E 1 3-Reference-Cited by-同舟云学术

Mannheim curves and their partner curves in Minkowski 3-space E ₁ ³

Published:2022-01-01 Issue:1 Volume:55 Page:798-811
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Elsharkawy Ayman¹,Elshenhab Ahmed M.²

Affiliation:

1. Department of Mathematics, Faculty of Science, Tanta University , Tanta 31527 , Egypt

2. Department of Mathematics, Faculty of Science, Mansoura University , Mansoura 35516 , Egypt

Abstract

Abstract The modified orthogonal frame is an important tool to study analytic space curves whose curvatures have discrete zero points. In this article, by using the modified orthogonal frame, Mannheim curves and their partner curves are investigated in Minkowski 3-space. Some characterizations according to the curvatures and torsions of the curves are given. Finally, some relations under the conditions for Mannheim curves and their partner curves to be generalized helices are presented. All the possible cases for the partner curves to be spacelike and timelike are considered in the whole of the article.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2022-0163/pdf

Reference22 articles.

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3. M. S. Lone, H. Es, M. K. Karacan, and B. Bukcu, On some curves with Modified orthogonal frame in Euclidean 3-space, Iran. J. Sci. Technol. Trans. A Sci. 43 (2019), no. 4, 1905–1916.

4. H. B. Öztekin and M. Bektas, Representation formulae for Bertrand curves in the Minkowski 3-space, Sci. Magna. 6 (2010), no. 1, 89–96.

5. H. Liu and F. Wang, Mannheim partner curves in 3-space, J. Geom. 88 (2008), no. 1, 120–126.

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