@article{Karaca2024, 
author = {Emel Karaca},
title = {Non-null slant ruled surfaces and tangent bundle of pseudo-sphere},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {22842-22858},
keywords = {tangent bundle of pseudo-sphere, non-null vectors, slant ruled surface},
url = {https://www.sciopen.com/article/10.3934/math.20241111},
doi = {10.3934/math.20241111},
abstract = {A slant ruled surface is a unique type of ruled surface composed by Frenet vectors that form a constant angle with each other and with specific directions in space. In this paper, the non-null slant ruled surface, which is generated by the striction curve of the natural lift curve, was constructed with a novel approximation in  E13. To establish the approximation, E. Study mapping was then applied to determine the relationship between pseudo-spheres and non-null slant ruled surfaces that are generated by the striction curves of the natural lift curves. Furthermore,  q¯→−,h¯→−,a¯→− spacelike (resp., timelike) slant ruled surfaces were classified by using the striction curves of the natural lift curves in  E13. We also provided examples to illustrate the findings.}
}