# A class of Randers metrics of scalar flag curvature

## TL;DR

This paper investigates the classification of Randers metrics with scalar flag curvature in Finsler geometry, providing necessary conditions under the assumption that a certain 1-form is Killing.

## Contribution

It introduces new necessary conditions for Randers metrics of scalar flag curvature when a specific 1-form is Killing, advancing the classification problem.

## Key findings

- Derived necessary conditions for Randers metrics with scalar flag curvature
- Identified the role of Killing 1-forms in the classification
- Contributed to the understanding of scalar flag curvature in Finsler geometry

## Abstract

One of the most important problems in Finsler geometry is to classify Finsler metrics of scalar flag curvature. In this paper, we study the classification problem of Randers metrics of scalar flag curvature. Under the condition that $\beta$ is a Killing 1-form, we obtain some important necessary conditions for Randers metrics to be of scalar flag curvature.