TY  - JOUR
T1  - The curvature center of the curves on a hypersurface in lorentzian n -space L"
AU  - İyigün, E.
PY  - 2001
DA  - January
JF  - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
JO  - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.
PB  - Ankara University
WT  - DergiPark
SN  - 1303-5991
SP  - 0
EP  - 0
VL  - 50
LA  - en
AB  - In this paper, we define i1'1 e-curvature function, r"' (a,,...,ar ) -curvature çenter and (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 (n - r) -curvature hyperplane in the n- dimensional Lorentzian space. We also consider some special cases. In the final section we çalculate the r'*(a,... ar ) -curvature centers Cr (t)(r = 2 or 3) of some special curves.
KW  - curvature
KW  - hypersurface
KW  - lorentzian
CR  - Communications, Series A1:Mathematics and Statistics
UR  - https://dergipark.org.tr/en/pub/cfsuasmas/article/898635
L1  - https://dergipark.org.tr/en/download/article-file/1644855
ER  -