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Zermelo's navigation problem for some special surfaces of rotation

Yanlin Li, Laurian‐Ioan Pişcoran, Lamia Saeed Alqahtani, Ali H. Alkhaldi, Akram Ali

2023AIMS Mathematics20 citationsDOIOpen Access PDF

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>

Topics & Concepts

Rotation (mathematics)Metric (unit)MathematicsDistortion (music)Computer sciencePure mathematicsGeometryEngineeringTelecommunicationsOperations managementAmplifierBandwidth (computing)Advanced Differential Geometry Research
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