Nejat Ekmekci, Yılmaz Tuncer

ON DIFFERENTIAL GEOMETRY OF THE LORENTZ SURFACES

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.

Anahtar Kelimeler:

Lorenz Surface, Fundamental Forms, Curvatures, Weingarten Formulae

ON DIFFERENTIAL GEOMETRY OF THE LORENTZ SURFACES

Keywords:

Lorenz Surface, Fundamental Forms, Curvatures, Weingarten Formulae,

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