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

Year 2001, Volume: 50 , 0 - 0, 01.01.2001

E. İyigün

Abstract

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.

Keywords

curvature hypersurface lorentzian

References

  • Communications, Series A1:Mathematics and Statistics
There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

E. İyigün This is me

Publication Date January 1, 2001
Submission Date January 1, 2001
Published in Issue Year 2001 Volume: 50

Cite

APA İyigün, E. (2001). The curvature center of the curves on a hypersurface in lorentzian n -space L". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 50.
AMA İyigün E. The curvature center of the curves on a hypersurface in lorentzian n -space L". Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. January 2001;50.
Chicago İyigün, E. “The Curvature Center of the Curves on a Hypersurface in Lorentzian N -Space L"”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 50, January (January 2001).
EndNote İyigün E (January 1, 2001) The curvature center of the curves on a hypersurface in lorentzian n -space L". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 50
IEEE E. İyigün, “The curvature center of the curves on a hypersurface in lorentzian n -space L"”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 50, 2001.
ISNAD İyigün, E. “The Curvature Center of the Curves on a Hypersurface in Lorentzian N -Space L"”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 50 (January 2001).
JAMA İyigün E. The curvature center of the curves on a hypersurface in lorentzian n -space L". Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2001;50.
MLA İyigün, E. “The Curvature Center of the Curves on a Hypersurface in Lorentzian N -Space L"”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 50, 2001.
Vancouver İyigün E. The curvature center of the curves on a hypersurface in lorentzian n -space L". Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2001;50.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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