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.
@article{CRMATH_2002__335_7_603_0, author = {Jochen Br\"uning and Xiaonan Ma}, 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}, }
Jochen Brüning; Xiaonan Ma. An anomaly formula for Ray–Singer metrics on manifolds with boundary. Comptes Rendus. Mathématique, Volume 335 (2002) no. 7, pp. 603-608. doi : 10.1016/S1631-073X(02)02496-2. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02496-2/
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