A Cheeger-like inequality for coexact 1-forms

2021/03/16 by Adrien Boulanger, Boulanger, Adrien, Gilles Courtois +1 · 4 citations
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Point processes and geometric inequalities #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.2103.09167

openalex publication_date 2021/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Cited by

• Eigenvalue Estimate for the Rough Laplacian on 1-Forms and its Applications
• Coexact 1-Laplacian spectral gap and exponential growth of a group
• Lower bounds for the eigenvalues of the Hodge Laplacian on certain non-convex domains
• Small eigenvalues of the Hodge-Laplacian with sectional curvature bounded below

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