ON DIFFERENTIAL GEOMETRY OF THE LORENTZ SURFACES

Year 2007, Issue: 013, 20 - 24, 15.06.2007

Nejat Ekmekci Yılmaz Tuncer

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

References

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