The change of electric field and relaxed elastic line via anholonomic coordinates with Darboux frame in R13

NE Gürbüz - Optik, 2022 - Elsevier
In this paper, intrinsic directional derivatives via anholonomic coordinates with respect to the
Darboux frame in Minkowski 3-space R 1 3 are obtained. Later, the evolution of electric field …

On the variational curves due to the ED-frame field in Euclidean 4-space

M ÇİMDİKER, Y Ünlütürk - Turkish Journal of Mathematics, 2020 - journals.tubitak.gov.tr
In this study, we define a variational field for constructing a family of Frenet curvesof the
length l lying on a connected oriented hypersurface and calculate the length of the …

Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Minkowski 3-space E_1^ 3

C Ekici, A Görgülü - Turkish Journal of Mathematics, 2009 - journals.tubitak.gov.tr
Abstract HK Nickerson and Gerald S. Manning [8] derived the intrinsic equations for a
relaxed elastic line on an oriented surface in the Euclidean 3-dimensional space E^ 3. In this …

[PDF][PDF] A Variation Problem for Null Curves

N Gürbüz - m-hikari.com
Abstract HK Nickerson and G. S Manning [1] derived the intrinsic equations for a relaxed
elastic line on an oriented surface in E 3. Considerable works were done on physical and …

[引用][C] Intrinsic formulation for elastic line deformed on a surface by an external field in the pseudo-Galilean space

N Gürbüz - Life Science Journal, 2013

[引用][C] Galile uzayında bazı elastik eğriler

G Misir - Fen Bilimleri Enstitüsü

[引用][C] 3-boyutlu Öklid ve Minkowski uzaylarında ikinci tip serbest elastik eğri için doğal denklemler

E Bayram - 2017 - Ondokuz Mayıs Üniversitesi, Fen …