On C3-Like Finsler Metrics Under Ricci Flow

TL;DR

This paper investigates C3-like Finsler metrics under Ricci flow and proves that these metrics are Einstein, contributing to the understanding of geometric evolution in Finsler geometry.

Contribution

The paper establishes that C3-like Finsler metrics satisfying Ricci flow equations are necessarily Einstein, a novel result in Finsler geometry research.

Findings

C3-like Finsler metrics are Einstein under Ricci flow

Proved that un-normal and normal Ricci flow equations lead to Einstein metrics

Advances understanding of metric evolution in Finsler geometry

Abstract

In this paper we have studied the class of Finsler metrics, called C3-like metrics which satisfy the un-normal and normal Ricci flow equation and proved that such metrics are Einstein.