On Funk's parabolas

Autor: Newton Mayer Solórzano Chávez, Junior Rodrigues Moyses, Víctor Arturo Martínez León
Jazyk: English<br />Spanish; Castilian<br />Portuguese
Rok vydání: 2024
Předmět:
Zdroj: REMAT, Vol 10, Iss 1 (2024)
Druh dokumentu: article
ISSN: 2447-2689
DOI: 10.35819/remat2024v10i1id6680
Popis: 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 identify that two of the four parabolas obtained are in well known Euclidian conics, and the remaining two are characterized by irreducible quartics.
Databáze: Directory of Open Access Journals