scholarly journals INEXTENSIBLE FLOWS OF CURVES ACCORDING TO SABBAN FRAME IN GALILEAN SPACE G3

2019 ◽  
Vol 2 (1) ◽  
pp. 75-81
Author(s):  
HÜLYA GÜN BOZOK
Keyword(s):  
Inextensible Flows ◽  
Galilean Space

Motions of Curves in 4-Dimensional Galilean Space G4

2021 ◽  
pp. 2150153
Author(s):  
Hülya Gün Bozok ◽  
Sezin Aykurt Sepet ◽  
Mahmut Ergüt
Keyword(s):  
Vector Fields ◽  
Invariant Vector ◽  
Burgers Equations ◽  
Frenet Equations ◽  
Inextensible Flows ◽  
Galilean Space ◽  
Invariant Vector Fields

In this paper, we investigate the flow of curve and its equiform geometry in 4-dimensional Galilean space. We obtain that the Frenet equations and curvatures of inextensible flows of curves and its equiformly invariant vector fields and intrinsic quantities are independent of time. We find that the motions of curves and its equiform geometry can be defined by the inviscid and stochastic Burgers’ equations in 4-dimensional Galilean space.

scholarly journals Characterization of inextensible flows of spacelike curves with sabban frame in S₁²

2013 ◽  
Vol 31 (2) ◽  
pp. 47 ◽  
Author(s):  
Mahmut Ergüt ◽  
Essin Turhan ◽  
Talat Körpınar
Keyword(s):  
Inextensible Flows

In this paper, we study inextensible flows of spacelike curves on S₁². We research inextensible flows of spacelike curves according to Sabban frame on S₁².

scholarly journals A Note on Inextensible Flows of Curves on Oriented Surface

Cubo (Temuco) ◽  
2014 ◽  
Vol 16 (3) ◽  
pp. 11-19 ◽  
Author(s):  
Onder Gokmen Yildiz ◽  
Soley Ersoy ◽  
Melek Masal
Keyword(s):  
Oriented Surface ◽  
Inextensible Flows

GALILEAN AND DISCRETE SPACE-TIME SYMMETRIES OF ROY-SINGH DETERMINISTIC QUANTUM MECHANICS

1995 ◽  
Vol 10 (32) ◽  
pp. 4641-4650
Author(s):  
ARVIND KUMAR
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Time Reversal ◽  
Space Time ◽  
Discrete Space ◽  
Galilean Space

The recent deterministic quantum theory of Roy and Singh is shown to be covariant with respect to Galilean, space reflection and time reversal transformations.

scholarly journals On inextensible flows of tangent developable of biharmonic B-Slant helices according to Bishop frames in the special 3-dimensional Kenmotsu manifold

2011 ◽  
Vol 31 (1) ◽  
pp. 89 ◽  
Author(s):  
Vedat Asil ◽  
Talat Körpınar ◽  
Essin Turhan
Keyword(s):  
Ricci Tensor ◽  
Three Dimensional ◽  
Kenmotsu Manifold ◽  
3 Dimensional ◽  
Developable Surfaces ◽  
Tangent Developable ◽  
Inextensible Flows ◽  
Parallel Ricci Tensor

In this paper, we study inextensible flows of tangent developable surfaces of biharmonic B-slant helices in the special three-dimensional Kenmotsu manifold K with η-parallel ricci tensor. We express some interesting relations about inextensible flows of this surfaces.

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