Constant pseudo-angle lightlike surfaces

Yıl 2023, Cilt: 72 Sayı: 3, 737 - 760, 30.09.2023

Gül Tuğ

https://doi.org/10.31801/cfsuasmas.1133106

Öz

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.

Anahtar Kelimeler

Lightlike surface, pseudo-angle, transversal vector field, ruled surface, Cartan slant helix, null helix, pseudo-null curve.

Kaynakça

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