The curvature center of the curves on a hypersurface in lorentzian n -space L`

Authors : E. İYİGÜN

Pages : 0-0

View : 14 | Download : 9

Publication Date : 2001-01-01

Article Type : Research Paper

Abstract :In this paper, we define i1`1 e-curvature function, r`` insert ignore into journalissuearticles values(a,,...,ar ); -curvature çenter and insert ignore into journalissuearticles values(n~ r); -curvature hyperplane for the curve of Lorentzian space. We prove that the locus of centers of spheres that has p as the r-multiple contact point with curve is the insert ignore into journalissuearticles values(n - r); -curvature hyperplane in the n- dimensional Lorentzian space. We also consider some special cases. In the final section we çalculate the r`*insert ignore into journalissuearticles values(a,... ar ); -curvature centers Cr insert ignore into journalissuearticles values(t);insert ignore into journalissuearticles values(r = 2 or 3); of some special curves.
Keywords : curvature, hypersurface, lorentzian