On Funk's parabolas

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 ide...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Remat (Bento Gonçalves) 2024-01, Vol.10 (1), p.e3001
Hauptverfasser: Chávez, Newton Mayer Solórzano, Moyses, Junior Rodrigues, León, Víctor Arturo Martínez
Format: Artikel
Sprache:eng
Schlagworte:
Finsler metric
Funk metric
Funk's parabolas
navigation problem
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2447-2689
2447-2689
DOI:10.35819/remat2024v10i1id6680