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

页码：16278 / 16290

页数：13

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