CHARACTERIZATIONS OF INCLINED CURVES WHICH IS CONCERNED WITH OSCULATING SPHERE IN L-n FOR SPACE-LIKE CURVES

In this study, we first calculate the higher ordered curvatures in terms of higher ordered harmonic curvatures for the space-like curves in L-n. Thus, we give characterizations of inclined curves in L-n 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 its osculating sphere. At the end, we give another characterization for inclined curves in L-n, in terms of these coordinates.