Constant pseudo-angle lightlike surfaces

Authors : Gül TUĞ

Pages : 737-760

Doi:10.31801/cfsuasmas.1133106

View : 20 | Download : 49

Publication Date : 2023-09-30

Article Type : Research Paper

Abstract :The oriented angles between lightlike vectors cannot be defined properly compared to the timelike vectors in the Minkowski spacetime. Therefore, we use the pseudo-angles between any non-lightlike or lightlike vectors to develop the theory of lightlike surfaces having constant angle with a fixed nonlightlike direction. We investigate some geometric properties on these surfaces such as being a tangent developable. Besides, we construct the constant angle lightlike ruled surfaces by means of the null helices. We give several examples to illustrate the obtained surfaces.
Keywords : Lightlike surface, pseudo angle, transversal vector field, ruled surface, Cartan slant helix, null helix, pseudo null curve