On hyperbolic lifted developable surfaces in Minkowski 3-space

The objective of this thesis is to examine the hyperbolic lifted developable surfaces in 3-dimensional Minkowski space. In the introduction of this study, which consists of four chapters, information about the study done chronologically is given. In the second chapter, also called basic concepts section, fundamental definitions and theorems that will be used in this thesis are expressed. The use of a lifting transformation to a plane curve with paraboloid and hyperbolic paraboloid, generated calculations as an envelope of a one-parameter family of tangent planes along a lifted space curve of the 3- dimensional Euclidean space has been given in the third chapter. Thereafter, the conditions of the developable surface being minimal surface and constant mean curvature surface were obtained. In the concluding chapter, similar calculations were made for the developable surfaces formed by a paraboloid and a hyperbolic paraboloid with the help of amplification transformation using timelike, spacelike or null curves in the Minkowski 3-space. Examples of the mentioned calculations are also given.