Randers metrics on two-spheres of revolution with simple cut locus

Autor: Rattanasak Hama, Sorin V. Sabau
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 11, Pp 26213-26236 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20231337?viewType=HTML
Popis: In the present paper, we study the Randers metric on two-spheres of revolution in order to obtain new families of Finsler of Randers type metrics with simple cut locus. We determine the geodesics behavior, conjugate and cut loci of some families of Finsler metrics of Randers type whose navigation data is not a Killing field and without sectional or flag curvature restrictions. Several examples of Randers metrics whose cut locus is simple are shown.
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