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Research Article | Open Access

Zermelo's navigation problem for some special surfaces of rotation

Yanlin Li1, Piscoran Laurian-Ioan2, Lamia Saeed Alqahtani3, Ali H. Alkhaldi4, Akram Ali4( )
School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China
North University Center of Baia Mare Technical University of Cluj Napoca Department of Mathematics and Computer Science, Victoriei 76, 430122 Baia Mare, Romania
Department of Mathematics, King Abdulaziz University, 21589 Jeddah, Saudi Arabia
Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
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Abstract

In this paper, we investigate Zermelo's navigation problem for some special rotation surfaces. In this respect, we find some Randers-type metrics for these rotation surfaces. Furthermore, we get the H-distortion for the metric induced by surfaces.

Keywords

Zermelo's problemFrobenius norm
CLC number: Primary 53C60; Secondary 53B40

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 16278-16290
DOI: 10.3934/math.2023833

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Cite this article:
Li Y, Laurian-Ioan P, Alqahtani LS, et al. Zermelo's navigation problem for some special surfaces of rotation. AIMS Mathematics, 2023, 8(7): 16278-16290. https://doi.org/10.3934/math.2023833

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Received: 10 February 2023
Revised: 31 March 2023
Accepted: 05 April 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)