Generalized Helicoidal Surfaces in Euclidean 5-space

Ali Uçum; Makoto Sakaki

doi:10.2478/auom-2021-0044

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Generalized Helicoidal Surfaces in Euclidean 5-space

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 29 (2021): Issue 3 (November 2021)

By: Ali Uçum and Makoto Sakaki

Open Access

|Nov 2021

Abstract

In this paper, we study generalized helicoidal surfaces in Euclidean 5-space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ordinary differential equations. We solve those equations and discuss the completeness of the surfaces.

References

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2021-0044 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 269 - 283

Submitted on: Mar 3, 2021

Accepted on: Apr 28, 2021

Published on: Nov 23, 2021

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Helicoidal surface,

minimal surface,

flat surface,

normal curvature tensor,

complete surface

Related subjects:

Mathematics,

General mathematics

© 2021 Ali Uçum, Makoto Sakaki, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 29 (2021): Issue 3 (November 2021)