Constant pseudo-angle lightlike surfaces

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:72 Issue:3
Constant pseudo-angle lightlike surfaces

Constant pseudo-angle lightlike surfaces

Authors : Gül TUĞ

Pages : 737-760

Doi:10.31801/cfsuasmas.1133106

View : 51 | Download : 55

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

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.