CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE INLnFOR SPACE-LIKE CURVES

Authors : Funda YALINIZ A., H.HILMI HACISALIHOĞLU

Pages : 11-29

Doi:10.1501/Commua1_0000000649

View : 9 | Download : 8

Publication Date : 2009-08-01

Article Type : Research Paper

Abstract :In this study, we first calculate the higher ordered curvatures interms of higher ordered harmonic curvatures for the space-like curves in Ln.Thus, we give characterizations of inclined curves in Ln for space-like curves.Furthermore, we obtain the coordinates of the central point of the space-like curve’s osculating sphere. Then we calculate the higher ordered curvatures of the space-like curves in terms of the coordinates of the central point of it so sculating sphere. At the end, we give another characterization for inclined curves in Ln, in terms of these coordinates
Keywords : Lorentzian space, space like curve, inclined curve, osculating sphere