Isometric Timelike Surfaces in 4--Dimensional Minkowski Space

Fuente: arXiv
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Autori principali: Demirci, Burcu Bektaş, Babaarslan, Murat, Küçükarikan, Yasin
Natura: Preprint
Pubblicazione: 2022
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author Demirci, Burcu Bektaş
Babaarslan, Murat
Küçükarikan, Yasin
author_facet Demirci, Burcu Bektaş
Babaarslan, Murat
Küçükarikan, Yasin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2209_14920
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Isometric Timelike Surfaces in 4--Dimensional Minkowski Space
Demirci, Burcu Bektaş
Babaarslan, Murat
Küçükarikan, Yasin
Differential Geometry
53B25, 53C50
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.
title Isometric Timelike Surfaces in 4--Dimensional Minkowski Space
topic Differential Geometry
53B25, 53C50
url https://arxiv.org/abs/2209.14920