Mathematics – Spectral Theory
Scientific paper
2003-11-12
Mathematics
Spectral Theory
45 pages, to appear in "Advances in Mathematics"
Scientific paper
We explicitely compute the essential spectrum of the Laplace-Beltrami
operator for $p$-forms for the class of warped product metrics $d\sigma^2=
y^{2a}dy^2 + y^{2b}d\theta_{\partial M}^2$, where $y$ is a boundary defining
function on a compact manifold with boundary $M$.
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