[Phases de diffusion generalisées pour des variétés asymptotiquement hyperboliques]
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.
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@article{CRMATH_2004__338_9_685_0,
author = {Bouclet, Jean-Marc},
title = {Generalized scattering phases for asymptotically hyperbolic manifolds},
journal = {Comptes Rendus. Math\'ematique},
pages = {685--688},
publisher = {Elsevier},
volume = {338},
number = {9},
year = {2004},
doi = {10.1016/j.crma.2004.03.002},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.03.002/}
}
TY - JOUR AU - Bouclet, Jean-Marc TI - Generalized scattering phases for asymptotically hyperbolic manifolds JO - Comptes Rendus. Mathématique PY - 2004 SP - 685 EP - 688 VL - 338 IS - 9 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.03.002/ DO - 10.1016/j.crma.2004.03.002 LA - en ID - CRMATH_2004__338_9_685_0 ER -
%0 Journal Article %A Bouclet, Jean-Marc %T Generalized scattering phases for asymptotically hyperbolic manifolds %J Comptes Rendus. Mathématique %D 2004 %P 685-688 %V 338 %N 9 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.03.002/ %R 10.1016/j.crma.2004.03.002 %G en %F CRMATH_2004__338_9_685_0
Bouclet, Jean-Marc. Generalized scattering phases for asymptotically hyperbolic manifolds. Comptes Rendus. Mathématique, Tome 338 (2004) no. 9, pp. 685-688. doi : 10.1016/j.crma.2004.03.002. http://www.numdam.org/articles/10.1016/j.crma.2004.03.002/
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