Research ArticleNo Access

New classes of projectively related Finsler metrics of constant flag curvature

Faculty of Mathematics, Alexandru Ioan Cuza University, Bd. CAROL I, nr. 11, Iaşi 700506, Romania

E-mail Address: cretuggeorgeta@gmail.com

https://doi.org/10.1142/S0219887820500681Cited by:0 (Source: Crossref)

Abstract

We define a Weyl-type curvature tensor of $(1, 2)$ -type to provide a characterization for Finsler metrics of constant flag curvature. This Weyl-type curvature tensor is projective invariant only to projective factors that are Hamel functions. Based on this aspect, we construct new families of projectively related Finsler metrics that have constant flag curvature.

Keywords:

AMSC: 53C60, 53B40

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