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

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

2004-02-24

arxiv.org/abs/math/0402391v1

Mathematics

Spectral Theory

31 pages

Scientific paper

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

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