On Funk's parabolas

This study aims to analyze parabolas in the two dimensional unit disk equipped with a Funk metric. The analysis leads to four types of parabolas are obtained, due to the non-reversibility of the Funk metric. Each one with applications to physics in the Zermelo navigation problem. In addition, we id...

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Bibliographic Details
Main Authors: Newton Mayer Solórzano Chávez, Junior Rodrigues Moyses, Víctor Arturo Martínez León
Format: Article
Language:English
Published: Instituto Federal de Educação, Ciência e Tecnologia do Rio Grande do Sul (IFRS) 2024-01-01
Series:REMAT
Subjects:
Online Access:https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6680