Remark about the spectrum of the p-form Laplacian under a collapse with curvature bounded below

2002/02/19 by John Lott, Lott, John · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #math.DG

paper · pdf · doi:10.48550/arxiv.math/0202196

8 pages

arxiv created 2002/02/19 · openalex publication_date 2002/02/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a lower bound on the number of small positive eigenvalues of the p-form Laplacian in a certain type of collapse with curvature bounded below.

Cited by

• 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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