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

Francesca Antoci

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

Francesca Antoci

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Abstract

We explicitely compute the absolutely continuous spectrum of the Laplace-Beltrami operator for $p$-forms for the class of warped product metrics $dσ^2= y^{2a}dy^2 + y^{2b}dθ_{\Sphere^{N-1}}^2$, where $y$ is a boundary defining function on the unit ball B(0,1) in $\Real^N$.

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BibTeX RIS

Francesca Antoci. 2004-02-24. On the absolutely continuous spectrum of the Laplace-Beltrami operator acting on p-forms for a class of warped product metrics. https://arxiv.org/abs/math/0402391

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