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2015, vol. 19, br. 1, str. 87-93
Spinor Darboux equations of curves in Euclidean 3-space
(naslov ne postoji na srpskom)
aFaculty of Art and Sciences, Department of Mathematics, Kocaeli University, Kocaeli, Turkey
bFaculty of Art and Sciences, Department of Mathematics, Sakarya University, Sakarya, Turkey

e-adresailim.ayvaz@kocaeli.edu.tr, tosun@sakarya.edu.tr
Ključne reči: Frenet equations; Darboux equations; spinors
Sažetak
(ne postoji na srpskom)
In this paper, the spinor formulation of Darboux frame on an oriented surface is given. Also, the relation between spinor formulation of Frenet frame and Darboux frame is obtained.
Reference
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Bas, S., Körpınar, T. (2013) Inextensible flows of spacelike curves with timelike principal normal according to Darboux frame in M₁³. Boletim da Sociedade Paranaense de Matemática, 31(2): 9
Bektas, O., Yüce, S. (2013) Special smarandache curves according to frame in E3. Romanian Journal of Mathematics and Computer Science, Vol. 3, 48-59
Carmo, M.P.D. (1976) Differential geometry of curves and surfaces. Prentice Hall
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del Castillo, G.F.T., Barreles, G.S. (2004) Spinor formulation of the differential geometry of curves. Revista Colombiana de Matematicas, Vol. 38, 27-34
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Körpınar, T., On, T.E. (2012) characterization of timelike biharmonic D-helices according to Darboux frame on non-degenerate timelike surfaces in the Lorentzian Heisenberg group H. Annals of Fuzzy Mathematics and Informatics, Vol. 4, 393-400
Lawson, H.B., Michelsohn, M.L. (1989) Spin geometry. Princeton University
Önder, M., Ugurlu, H.H. (2011) Dual darboux frame of a spacelike ruled surface and darboux approach to Mannheim offsets of spacelike ruled surfaces. arxiv:1108.6076, [math.DG]
Payne, W.T. (1952) Elementary Spinor Theory. American Journal of Physics, 20(5): 253-262
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Spivak, M. (1970) A Comprehensive introduction to differential geometry. Boston: Publish or Perish
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/MatMor1501087K
objavljen u SCIndeksu: 25.03.2017.

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