Zermelo's navigation problem for some special surfaces of rotation

被引：21
|
作者：
Li, Yanlin [1 ]
Piscoran, Laurian-Ioan [2 ]
Alqahtani, Lamia Saeed [3 ]
Alkhaldi, Ali H. [4 ]
Ali, Akram [4 ]
机构：
[1] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Peoples R China
[2] Univ Cluj Napoca, Dept Math & Comp Sci, Ctr Baia Mare Tech, North Univ, Victoriei 76, Baia Mare 430122, Romania
[3] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[4] King Khalid Univ, Coll Sci, Dept Math, Abha 61413, Saudi Arabia
来源：
AIMS MATHEMATICS | 2023年 / 8卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Zermelo's problem; Frobenius norm; DEVELOPABLE SURFACES; HERMITIAN-MANIFOLDS;
D O I：
10.3934/math.2023833
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：16278 / 16290
页数：13
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