# New classes of projectively related Finsler metrics of constant flag curvature

## TL;DR

This paper introduces a Weyl-type curvature tensor to characterize Finsler metrics with constant flag curvature, leading to the construction of new projectively related metrics with this property.

## Contribution

It defines a new projectively invariant Weyl-type curvature tensor and constructs novel families of projectively related Finsler metrics with constant flag curvature.

## Key findings

- Defined a Weyl-type curvature tensor for Finsler metrics
- Constructed new families of projectively related metrics
- Characterized metrics of constant flag curvature

## 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.