Zermelo's navigation problem for some special surfaces of rotation-Reference-Cited by-同舟云学术

Zermelo's navigation problem for some special surfaces of rotation

Published:2023 Issue:7 Volume:8 Page:16278-16290
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Li Yanlin¹,Laurian-Ioan Piscoran²,Alqahtani Lamia Saeed³,Alkhaldi Ali H.⁴,Ali Akram⁴

Affiliation:

1. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

2. North University Center of Baia Mare Technical University of Cluj Napoca Department of Mathematics and Computer Science, Victoriei 76, 430122 Baia Mare, Romania

3. Department of Mathematics, King Abdulaziz University, 21589 Jeddah, Saudi Arabia

4. Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference23 articles.

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4. P. Kopacz, On generalization of Zermelo navigation problem on Riemannian manifolds, Int. J. Geom. Methods M., 16 (2019), 1950058. http://dx.doi.org/10.1142/S0219887819500580

5. B. Russell, S. Stepney, Zermelo navigation and a speed limit to quantum information processing, Phys. Rev. A, 90 (2014), 012303. http://dx.doi.org/10.1103/PhysRevA.90.012303

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