Isometric Timelike Surfaces in 4--Dimensional Minkowski Space

2022/09/29 by Demirci, Burcu Bektaş, Babaarslan, Murat, Küçükarikan, Yasin
#53B25 #53C50 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2209.14920

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.

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