Scattering theory for p-forms on hyperbolic real space

Details Scattering theory for p-forms on hyperbolic real space Scattering theory for p-forms on hyperbolic real space

2001-01-25

arxiv.org/abs/math/0101212v1

Mathematics

Differential Geometry

LaTeX, 10 pages

Scientific paper

Due to spectral obstructions, a scattering theory in the Lax-Phillips sense for the wave equation for differential p-forms on H^{n+1} cannot be developed. As a consequence, Huygens' principle for the wave equation in this context does not hold. If we restrict the class of forms and we consider the case of coclosed p-forms on H^{n+1}, when n=2p, Huygens' principle does hold and thus in this case incoming and outgoing subspaces can be constructed.

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