Scattering theory for p-forms on hyperbolic real space
Differential Geometry
2007-05-23 v1 Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.math/0101212,
title = {Scattering theory for p-forms on hyperbolic real space},
author = {Francesca Antoci},
journal= {arXiv preprint arXiv:math/0101212},
year = {2007}
}
Comments
LaTeX, 10 pages