Some Theorems on Timelike Ruled Surfaces

Authors : Mehmet Önder

Pages : 49-57

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Publication Date : 2019-09-27

Article Type : Research

Abstract :In this study, we investigate the existence theorems for timelike ruled surfaces in Minkowski 3-space . We obtain a general system and give the existence theorems for a timelike ruled surface according to Gaussian curvature, distribution parameter and strictional distance. Moreover, we give some special cases such as the directirx of the surface is a geodesic, an asymptotic line, a line of curvature or a general helix.
Keywords : Frenet frame, Minkowski 3-space, Striction curve, timelike ruled surface