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

Mustafa Yeneroğlu

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

Mustafa Yeneroğlu

Open Mathematics (2016)

Volume: 14, Issue: 1, page 946-954
ISSN: 2391-5455

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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

𝕊_{1}^{3}

. Finally, we give some characterizations for curvatures of a space-like curve in de Sitter space [...] S 1 3

𝕊_{1}^{3}

.

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Mustafa Yeneroğlu. "On new characterization of inextensible flows of space-like curves in de Sitter space." Open Mathematics 14.1 (2016): 946-954. <http://eudml.org/doc/287158>.

@article{MustafaYeneroğlu2016,
abstract = {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 $\mathbb \{S\}_\{1\}^\{3\}$.},
author = {Mustafa Yeneroğlu},
journal = {Open Mathematics},
keywords = {Fluid flow; Minkowski space-time; Partial differential equation; de Sitter space 𝕊31; fluid flow; Minkowski spacetime; partial differential equation; de Sitter space },
language = {eng},
number = {1},
pages = {946-954},
title = {On new characterization of inextensible flows of space-like curves in de Sitter space},
url = {http://eudml.org/doc/287158},
volume = {14},
year = {2016},
}

TY - JOUR
AU - Mustafa Yeneroğlu
TI - On new characterization of inextensible flows of space-like curves in de Sitter space
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 946
EP - 954
AB - 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 $\mathbb {S}_{1}^{3}$.
LA - eng
KW - Fluid flow; Minkowski space-time; Partial differential equation; de Sitter space 𝕊31; fluid flow; Minkowski spacetime; partial differential equation; de Sitter space
UR - http://eudml.org/doc/287158
ER -

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