New Characterizations for Pseudo Null and Partially Null Curves in R 2 4

Abstract

In this paper, pseudo-spherical pseudo null and partially null curves are defined by using curvature functions in R²₄ , respectively . Also, some new characterizations for pseudo null and partially null curves are obtained in R²₄ , respectively .

Keywords

• Pseudo null curve,Partially null curve,Semi-Euclidean space

R 2 4 de Pseudo Null ve Partially Null Eğriler İçin Yeni Karakterizasyonlar

Abstract

Bu makalede,  R²₄ de eğrilik fonksiyonları kullanılarak sırasıyla pseudo-küresel pseudo null ve partially null eğriler tanımlandı. Ayrıca, sırasıyla R²₄  de pseudo null ve partially null eğriler için yeni karakterizasyonlar elde edildi.

Keywords

• Pseudo null eğri,Partially null eğri,Semi-Euclidean uzay

References

1. Ilarslan K, 2002. Some Special Curves on Non-Euclidean Manifolds, Doctoral Thesis, Ankara University, Graduate School of Natural and Applied Sciences.
2. Duggal K. L, Bejancu A,1996. Ligtlike Submanifolds of Semi-Riemannian Manifolds and Applications, Kluwer Academic Publishers.
3. Petrovic-Torgasev M, Ilarslan K, Nesovic E, 2005. On Partially Null and Pseudo Null Curves in the Semi-Euclidean Space , J. Geom., 84: 106-116.
4. Synge J. L, 1967. Timelike Helices in Flat Space-time, Proc. Roy. Irish Academy A65: 27-42.
5. Walrave J, 1995. Curves and Surfaces in Minkowski Space, Doctoral thesis, K. U. Leuven, Fac. of Science, Leuven.