Mannheim curves and their partner curves in Minkowski 3-space E13

• Autorzy: Elsharkawy Ayman , Elshenhab Ahmed M.

Identyfikatory

DOI

10.1515/dema-2022-0163

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Mannheim curves; Mannheim partner curves; modified orthogonal frame; Minkowski 3-space; timelike curve; spacelike curve; curvature; torsion

PL

krzywe; przestrzeń Minkowskiego; krzywa typu czasowego; krzywizna; skręcanie

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 798--811
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Elsharkawy Ayman

• Department of Mathematics, Faculty of Science, Tanta University, Tanta 31527, Egypt

autor

Elshenhab Ahmed M.

• Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).