Scattering theory for p-forms on hyperbolic real space

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
LaTeX, 10 pages

Keywords

Differential Geometry, Spectral Theory, 58G25, 35P25

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/60820

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101212
 http://arxiv.org/abs/math/0101212

Collections

arXiv