The geometry of Randers cylinders of revolution with non-constant navigation data along meridians

IF 0.7 4区数学 Q2 MATHEMATICS

Annales Polonici Mathematici Pub Date : 2023-01-01 DOI:10.4064/ap221017-13-8

Nathaphon Boonnam, Rattanasak Hama, Sorin V. Sabau

引用次数: 0

Abstract

We study the structure of cut loci of a Finsler metric of Randers type defined on a cylindrical surface of revolution. Our Randers metrics are obtained by perturbing the Riemannian metric with a closed one-form, which is equivalent to the solution of Zerm

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沿子午线非恒定导航数据的兰德斯旋转圆柱体的几何形状

研究了定义在旋转柱面上的Randers型Finsler度规的切轨迹的结构。我们的兰德斯度规是通过用封闭的一形式扰动黎曼度规得到的，它等价于Zerm的解

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annales Polonici Mathematici 数学-数学

CiteScore

0.90

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： Annales Polonici Mathematici is a continuation of Annales de la Société Polonaise de Mathématique (vols. I–XXV) founded in 1921 by Stanisław Zaremba. The journal publishes papers in Mathematical Analysis and Geometry. Each volume appears in three issues.