Regle yüzeyler (Lorentz uzaylarında regle yüzeyler)

Abstract

In this thesis, correspondences to notions such as ruled surfaces, their striction points and curves, distribution parameter, developabi- Jity of surfaces and main theorems related to these which are well- known in the 3-dimensional Euclid space, are searched. 3 Furthermore, considering ruled surfaces in E, notions such as geodesies, Gaussian curvature, distribution parameter and center point for them are introduced and proofs of the main related theorems are 3 given in E In 3-dimensional Minkowski space IR, discussion of space-like (with differentiable time-like unit normal) and time-like (with different i able time-like unit normal) ruled surfaces can be found in literature, (e.g. Turgut, A.,1995). When the director curve is null for a time-like ruled surface, study on the surface is quite difficult. This situation which has been an open problem up to now is considered in this thesis, and by determining the striction point, stirct ion curve and distribution parameter, in addition some fundamental results are introduced h&re yt necessary and sufficient condition for a ruled surface with a time-like null director- curve to be a developable surface is given. This part of the thesis is original.