English

Canal Hypersurfaces Generated by Pseudo Null, Partially Null and Null Curves in Lorentz-Minkowski 4-Space

Differential Geometry 2022-09-30 v1

Abstract

In this paper, we obtain the parametric expressions of the canal hypersurfaces that are formed as the envelope of a family of pseudo hyperspheres or pseudo hyperbolic hyperspheres whose centers lie on a pseudo null, partially null or null curves in E14E^4_1 and give their some geometric invariants such as unit normal vector fields, Gaussian curvatures and mean curvatures. Also, we construct some examples for these canal hypersurfaces and finally, we give some characterizations for tubular hypersurfaces in E14E^4_1.

Keywords

Cite

@article{arxiv.2209.14715,
  title  = {Canal Hypersurfaces Generated by Pseudo Null, Partially Null and Null Curves in Lorentz-Minkowski 4-Space},
  author = {Mustafa Altin and Ahmet Kazan and Dae Won Yoon},
  journal= {arXiv preprint arXiv:2209.14715},
  year   = {2022}
}

Comments

22 pages, 1 figure. arXiv admin note: text overlap with arXiv:2206.12572