Mathematics – Differential Geometry
Scientific paper
2004-03-31
Math. Res. Lett. 12 (2005), no. 1, 103--119.
Mathematics
Differential Geometry
13 pages
Scientific paper
On an asymptotically hyperbolic manifold (X,g), we show that the resolvent
resonances coincide, with multiplicities, with the poles of the renormalized
scattering operator, except for the special points n/2-k (with k>0 integer)
where an additional term appears: this is the dimension of the kernel of the
k-conformal Laplacian on the boundary when (X,g) is Einstein.
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