HELICAL VERSUS OF RECTIFYING CURVES IN LORENTZ SPACES

Year 2004, Issue: 006, 239 - 244, 15.10.2004

R. Ezentaş S. Türkay

Abstract

In this present study we give a characterization of rectifying curves in Lorentz Space 3 1 IR . We also consider the helices versus of these curves.

Keywords

Curves, Lorentz Spaces, Rectifying Curves

LORENTZ UZAYLARIDAKİ REKTİFİYAN EĞRİLERİN HELİS OLMA DURUMLARI

Abstract

Bu çalışmada Lorentz uzayı 3 1 IR deki rektifiyan eğrilerin bir karekterizasyonu verilmiştir. Ayrıca bu tür eğrilerin helis olmaları durumunda ortaya çıkan özellikler ele alınmıştır.

Keywords

Eğriler, Lorenz Uzaylar, Rektifiyan Eğriler

References

• [1] B.Y.Chen. Geometry of submanifolds, Marcel Dekker, New York, 1973.
• [2] D.Langwidz. Differantial and Riemannian geometry, Academic Press, New York, 1965
• [3] O’Neill, Elementary differential geometry, Academic pres, NewYork, 1966.
• [4] O’Neill, Semi Riemannian Geometry with applications to relativity, Academic Press, New York, 1983.
• [5] B.Y.Chen, When Does the Position Vector of a Space Curve Always Lie in its Rectifying Plane? Amer. Math. Monthly 110 (2003), 147- 152