English

Isometric Timelike Surfaces in 4--Dimensional Minkowski Space

Differential Geometry 2026-02-24 v1

Abstract

In this paper, first we study on Bour's theorem for four kinds of timelike helicoidal surfaces in 4-dimensional Minkowski space. Secondly, we analyse the geometric properties of these isometric surfaces having same Gauss map. Also, we present the parametrizations of such isometric pair of surfaces. Finally, we introduce some examples and draw the corresponding graphs by using Wolfram Mathematica 10.4.

Keywords

Cite

@article{arxiv.2209.14920,
  title  = {Isometric Timelike Surfaces in 4--Dimensional Minkowski Space},
  author = {Burcu Bektaş Demirci and Murat Babaarslan and Yasin Küçükarikan},
  journal= {arXiv preprint arXiv:2209.14920},
  year   = {2026}
}

Comments

32 pages, 8 figures

R2 v1 2026-06-28T02:23:26.963Z