On the absolutely continuous spectrum of the Laplace-Beltrami operator acting on p-forms for a class of warped product metrics

2004/02/24 by Francesca Antoci, Antoci, Francesca
Mathematics · #58C40 #58G25 #Advanced Harmonic Analysis Research #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory #Spectral Theory (math.SP) #math.SP #msc:58C40 #msc:58G25

paper · pdf · doi:10.48550/arxiv.math/0402391

31 pages

arxiv created 2004/02/24 · openalex publication_date 2004/02/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explicitely compute the absolutely continuous spectrum of the Laplace-Beltrami operator for p-forms for the class of warped product metrics dσ2= y2ady2 + y2bdθ\SphereN-12, where y is a boundary defining function on the unit ball B(0,1) in \RealN.

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