Compactness of isospectral conformal Finslerian metrics set on a 3-manifold

TL;DR

This paper investigates the compactness properties of isospectral conformal Finslerian metrics on three-dimensional closed manifolds, contributing to the understanding of spectral geometry in Finsler settings.

Contribution

It establishes results on the compactness of isospectral conformal Finslerian metrics specifically in three dimensions, extending spectral geometry theory.

Findings

Results on the compactness of isospectral conformal Finslerian metrics

Extension of spectral geometry concepts to Finsler manifolds

Insights into the structure of conformal Finslerian metric sets

Abstract

Let F be a Finslerian metric on an n-dimensional closed manifold M. In this work, we study problems about compactness of isospectral sets of conformal Finslerian metrics when n=3.