Elementary Approachs on De Sitter Space

ISSN: 2147-6268
Yayın Aralığı: Yılda 4 Sayı
Başlangıç: 2013
Yayıncı: -

In this paper, we characterize the de Sitter space by means of spacelike and timelike curves that fully

Keywords:

De Sitter space geodesic, curve with constant curvature,

Baek, J., Kim, D.S. and Kim, Y. H., A characterization of the unit sphere, Amer. Math.Monthly, 110(2003), no. 9,830–833.
Chen, B.Y., Kim, D.S. and Kim,Y.H., New Characterizations of W-Curves, Publ. Math. Debrecen, 69 (2006), no. 4,457-472.
Duggal, K. L. and Bejancu, A.Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer 1996.
Ferrandez, A., Gimenez, A.and Lucas, P., Null helices in Lorentzian space forms, Internat. J.Modern Phys. A,16(2001), no. 30, 4845–4863.
Inoguchi, J. and Lee, S., Null curves in Minkowski 3-space, Int. Electron. J. Geom., 1(2008), no. 2, 40-83
Kim, D.S., Kim, Y.H. and Lee, J.W. A Characterization of Hyperbolic Spaces, Bull. Korean Math. Soc., 55(2018), no.4, 1103–1107
Lopez, R., Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space, Int.Electron. J. Geom., 7(2014),no.1, 44-107.
O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press. Inc., 1983.
Öztürk, E. and Yaylı, Y., W-Curves In Lorentz-Minkowski Space, Mathematical Sciences and Applications E-Notes,5(2017), no.2, 76–88.
Sakaki, M., Notes on null curves in Minkowski space, Turkish Journal Math, 34(2010), 417-424, doi:10.3906/mat-0812-14