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

2003/11/12 by Francesca Antoci, Antoci, Francesca
Mathematics · #58J50 #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP) #math.DG #math.SP #msc:58J50

paper · pdf · doi:10.48550/arxiv.math/0311184

45 pages, to appear in "Advances in Mathematics"

arxiv created 2003/11/12 · arxiv updated 2009/12/01

Abstract

We explicitely compute the essential spectrum of the Laplace-Beltrami operator for p-forms for the class of warped product metrics dσ²= y^2ady² + y^2bdθ_{∂ M}², where y is a boundary defining function on a compact manifold with boundary M.

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