Characterizations of timelike slant helices in Minkowski 3-space.

Autor: GÖK, İSMAIL, KAYA NURKAN, SEMRA, İLARSLAN, KAZIM, LEVENTİKULA, ALTINOK, MESUT
Předmět:
Zdroj: Mathematical Communications; 2014, Vol. 19 Issue 1, p119-138, 20p
Abstrakt: In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski 3-space E13 and we construct their Prenet equations and curvature functions. Moreover, we obtain some differential equations which characterize a timelike curve to be a slant helix by using the Prenet apparatus of a spherical indicatrix of the curve. Also, related examples and their illustrations are given. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index