Comptes Rendus
no. 9
Partial Differential Equations
Generalized scattering phases for asymptotically hyperbolic manifolds
[Phases de diffusion generalisées pour des variétés asymptotiquement hyperboliques]

Présenté par : Jean-Michel Bony

Jean-Marc Bouclet1
1 Université de Lille 1, UMR CNRS 8524, 59655 Villeneuve d'Ascq, France
Comptes Rendus. Mathématique, Volume 338 (2004) no. 9, pp. 685-688.

On démontre des développements asymptotiques de phases de diffusions généralisées associées à des couples de Laplaciens, pour une classe de variétés non compactes, de volume infini et à courbure négative près de l'infini. On utilise un de ces développements pour définir des déterminants relatifs qui interviennent de façon naturelle dans ce contexte.

We prove asymptotic expansions of generalized scattering phases asssociated to pairs of Laplacians, for a class of noncompact manifolds with infinite volume and negative curvature near infinity. We use one of these expansions to define relative determinants which appear naturally in this context.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2004.03.002
Jean-Marc Bouclet 1

1 Université de Lille 1, UMR CNRS 8524, 59655 Villeneuve d'Ascq, France 
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Jean-Marc Bouclet. Generalized scattering phases for asymptotically hyperbolic manifolds. Comptes Rendus. Mathématique, Volume 338 (2004) no. 9, pp. 685-688. doi : 10.1016/j.crma.2004.03.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.03.002/

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