Analyzing geometric isometries of helical surfaces in five-dimensional Euclidean space

Erhan Güler; Nurettin Cenk Turgay

doi:10.2298/FIL2423121G

Analyzing geometric isometries of helical surfaces in five-dimensional Euclidean space

Erhan Güler, Nurettin Cenk Turgay

Department of Mathematics Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

In the context of five-dimensional Euclidean space E⁵, the definition of the helical surface is established. Its geometric attributes are elucidated by calculating three normals. Subsequently, Bour’s theorem within E⁵ is employed to determine an isometric mapping among helical-rotational surfaces, contributing to a better understanding of their structural interplay.

Original language	English
Pages (from-to)	8121-8129
Number of pages	9
Journal	Filomat
Volume	38
Issue number	23
DOIs	https://doi.org/10.2298/FIL2423121G
Publication status	Published - 2024

Bibliographical note

Publisher Copyright:
© 2024, University of Nis. All rights reserved.

Keywords

Bour theorem
Euclidean 5-space
Gauss map
helical surface
isometry

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10.2298/FIL2423121G

Cite this

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abstract = "In the context of five-dimensional Euclidean space E5, the definition of the helical surface is established. Its geometric attributes are elucidated by calculating three normals. Subsequently, Bour{\textquoteright}s theorem within E5 is employed to determine an isometric mapping among helical-rotational surfaces, contributing to a better understanding of their structural interplay.",

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Analyzing geometric isometries of helical surfaces in five-dimensional Euclidean space

Abstract

Bibliographical note

Keywords

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