Comptes Rendus
no. 7-8
Differential Geometry/Mathematical Physics
Asymptotic flexibility of globally hyperbolic manifolds
[Flexibilité asymptotique des varietées globalment hyperboliques]

Présenté par : the Editorial Board

Olaf Müller1
1 Fakultät für Mathematik, Universität Regensburg, Universitätsstr. 31, 93053 Regensburg, Germany
Comptes Rendus. Mathématique, Volume 350 (2012) no. 7-8, pp. 421-423.

Dans cette Note, on regarde un problème de collage de deux varietées globalment hyperboliques qui surgit dans le contexte de la construction des états de Hadamard.

In this short Note, a question of patching together globally hyperbolic manifolds is addressed which appeared in the context of the construction of Hadamard states.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2012.03.015

Olaf Müller 1

1 Fakultät für Mathematik, Universität Regensburg, Universitätsstr. 31, 93053 Regensburg, Germany 
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     doi = {10.1016/j.crma.2012.03.015},
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Olaf Müller. Asymptotic flexibility of globally hyperbolic manifolds. Comptes Rendus. Mathématique, Volume 350 (2012) no. 7-8, pp. 421-423. doi : 10.1016/j.crma.2012.03.015. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.03.015/

[1] Antonio Bernal; Miguel Sánchez On smooth Cauchy hypersurfaces and Gerochʼs splitting theorem, Communications in Mathematical Physics, Volume 243 (2003), pp. 461-470

[2] Antonio Bernal; Miguel Sánchez Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes, Communications in Mathematical Physics, Volume 257 (2005), pp. 43-50

[3] M.J. Radzikowski Micro-local approach to the Hadamard condition in quantum field theory on curved space–time, Communications in Mathematical Physics, Volume 179 (1996) no. 3, pp. 529-553

[4] M. Sánchez; O. Müller Lorentzian manifolds isometrically embeddable in Ln, Transactions of the American Mathematical Society, Volume 363 (2011), pp. 5367-5379

[5] R. Verch Nuclearity, split property, and duality for the Klein–Gordon field in curved spacetime, Letters in Mathematical Physics, Volume 29 (1993), pp. 297-310

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