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

Francesca Antoci

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arXiv · math/0311184

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

Francesca Antoci

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Abstract

We explicitely compute the essential spectrum of the Laplace-Beltrami operator for $p$-forms for the class of warped product metrics $dσ^2= y^{2a}dy^2 + y^{2b}dθ_{\partial M}^2$, where $y$ is a boundary defining function on a compact manifold with boundary $M$.

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BibTeX RIS

Francesca Antoci. 2003-11-12. On the spectrum of the Laplace-Beltrami operator for $p$-forms for a class of warped product metrics. https://arxiv.org/abs/math/0311184

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