ON DIFFERENTIAL GEOMETRY OF THE LORENTZ SURFACES
Authors : Nejat Ekmekci, Yılmaz Tuncer
Pages : 20-24
View : 7 | Download : 5
Publication Date : 2007-06-15
Article Type : Research
Abstract :In this paper we have defined the sign functions £1\' £2\' t3\' £4\' t5 and the vector fields Xu\' Xv\' nu and n , which have taken derivatives with (u,v) parameters of the tangent vector field X of any surface in Lorentz space and we get fundamental forms, Weingarten equations, Olin-Rodrigues and Gauss formulae. Beside these we calculate Gauss and mean curvatures.Keywords : Lorenz Surface, Fundamental Forms, Curvatures, Weingarten Formulae