Regle surfaces admitting 1-type Gauss map in Minkowski space

This study is consisting of five chapters has been submitted as a master's thesis. The first chapter is prepared as an introduction and literature information about ruled surfaces and the Gaussian transformation of these surfaces are given. In the second chapter, some basic concepts about curves and surfaces in 3-dimensional Euclidean and Lorentzian spaces are given. In the third chapter, ruled surfaces with 1-type Gaussian transform in Lorentz space are investigated and characterization theorems are given for this type of ruled surfaces. In the fourth chapter, a classification of ruled surfaces in Minkowski 3-space is given. In the fifth chapter, ruled surfaces with generalized 1-type Gaussian transform are investigated ve theorems and results about this type of ruled surfaces are given. Keywords: Regle Surfaces, Finite Type Submanifolds, Gauss Map, 1-Type Gauss Map, Generalized 1-Type Gauss Map.