A Cheeger-like inequality for coexact 1-forms

TL;DR

This paper establishes a Cheeger-like inequality specifically for coexact 1-forms on closed orientable Riemannian manifolds, linking geometric properties to spectral bounds.

Contribution

It introduces a novel Cheeger-like inequality tailored for coexact 1-forms, expanding the understanding of spectral geometry for differential forms.

Findings

Proves a new inequality relating geometric and spectral properties.

Extends Cheeger inequalities to coexact 1-forms.

Provides tools for analyzing spectral bounds on manifolds.

Abstract

We state and prove a Cheeger-like inequality for coexact 1-forms on closed orientable Riemannian manifolds.