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  • Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
  • Volume:50
  • The curvature center of the curves on a hypersurface in lorentzian n -space L`

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

Authors : E İYİGÜN
Pages : 0-0
View : 21 | Download : 13
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

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