The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$

İYİGÜN, E.

The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$

E. İYİGÜN (Uludağ Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Bursa, Türkiye)

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

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Yıl: 2001 Cilt: 50 Sayı: 1-2 Sayfa Aralığı: 65 - 73 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$

Öz:

In this paper, we define $i^{th}$ e-curvature function, $r^{th} (a_1,...,a_r)$ -curvature center 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-rnultiple 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 calculate the $r^{th} (a_1,...,a_r)$ -curvature centers $C_r(t)(r = 2 or 3)$ of some special curves.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Diğer Erişim Türü: Erişime Açık

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APA	İYİGÜN E (2001). The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. , 65 - 73.
Chicago	İYİGÜN E. The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. (2001): 65 - 73.
MLA	İYİGÜN E. The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. , 2001, ss.65 - 73.
AMA	İYİGÜN E The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. . 2001; 65 - 73.
Vancouver	İYİGÜN E The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. . 2001; 65 - 73.
IEEE	İYİGÜN E "The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$." , ss.65 - 73, 2001.
ISNAD	İYİGÜN, E.. "The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$". (2001), 65-73.

APA	İYİGÜN E (2001). The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 50(1-2), 65 - 73.
Chicago	İYİGÜN E. The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 50, no.1-2 (2001): 65 - 73.
MLA	İYİGÜN E. The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.50, no.1-2, 2001, ss.65 - 73.
AMA	İYİGÜN E The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2001; 50(1-2): 65 - 73.
Vancouver	İYİGÜN E The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2001; 50(1-2): 65 - 73.
IEEE	İYİGÜN E "The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 50, ss.65 - 73, 2001.
ISNAD	İYİGÜN, E.. "The curvature center of the curves on a hypersurface in Lorentzian n-space$ L^n$". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 50/1-2 (2001), 65-73.