[Formules d'anomalie pour les métriques de Ray–Singer sur les variétés à bord]
On annonce une formule d'anomalie pour les métriques de Ray–Singer d'un fibré plat F sur une variété à bord X . On ne suppose ni que la métrique sur F est plate, ni que la métrique sur X a une structure produit près du bord.
We establish an anomaly formula for Ray–Singer metrics defined by a Hermitian metric on a flat vector bundle over a Riemannian manifold with boundary. We do not assume that the Hermitian metric on the flat vector bundle is flat, nor that the Riemannian metric has product structure near the boundary.
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@article{CRMATH_2002__335_7_603_0,
author = {Br\"uning, Jochen and Ma, Xiaonan},
title = {An anomaly formula for {Ray{\textendash}Singer} metrics on manifolds with boundary},
journal = {Comptes Rendus. Math\'ematique},
pages = {603--608},
publisher = {Elsevier},
volume = {335},
number = {7},
year = {2002},
doi = {10.1016/S1631-073X(02)02496-2},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/S1631-073X(02)02496-2/}
}
TY - JOUR AU - Brüning, Jochen AU - Ma, Xiaonan TI - An anomaly formula for Ray–Singer metrics on manifolds with boundary JO - Comptes Rendus. Mathématique PY - 2002 SP - 603 EP - 608 VL - 335 IS - 7 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(02)02496-2/ DO - 10.1016/S1631-073X(02)02496-2 LA - en ID - CRMATH_2002__335_7_603_0 ER -
%0 Journal Article %A Brüning, Jochen %A Ma, Xiaonan %T An anomaly formula for Ray–Singer metrics on manifolds with boundary %J Comptes Rendus. Mathématique %D 2002 %P 603-608 %V 335 %N 7 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(02)02496-2/ %R 10.1016/S1631-073X(02)02496-2 %G en %F CRMATH_2002__335_7_603_0
Brüning, Jochen; Ma, Xiaonan. An anomaly formula for Ray–Singer metrics on manifolds with boundary. Comptes Rendus. Mathématique, Tome 335 (2002) no. 7, pp. 603-608. doi : 10.1016/S1631-073X(02)02496-2. http://archive.numdam.org/articles/10.1016/S1631-073X(02)02496-2/
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