On new characterization of inextensible flows of space-like curves in de Sitter space

• Autorzy: Mustafa Yeneroğlu
• Języki publikacji: EN

Abstrakty

EN

Elastica and inextensible flows of curves play an important role in practical applications. In this paper, we construct a new characterization of inextensible flows by using elastica in space. The inextensible flow is completely determined for any space-like curve in de Sitter space [...] S 1 3 $\mathbb{S}_{1}^{3}$. Finally, we give some characterizations for curvatures of a space-like curve in de Sitter space [...] S 1 3 $\mathbb{S}_{1}^{3}$.

Słowa kluczowe

EN

Fluid flow; Minkowski space-time; Partial differential equation; de Sitter space 𝕊31

Kategorie tematyczne

• 53A05: Surfaces in Euclidean space
• 53A04: Curves in Euclidean space

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 946-954

Daty

wydano

2016-01-01

otrzymano

2016-06-22

zaakceptowano

2016-08-24

online

2016-11-25

Twórcy

autor

Mustafa Yeneroğlu

• Firat University, Department of Mathematics, 23119, Elaziğ,

Identyfikatory

DOI

10.1515/math-2016-0071