Differential Geometry/Mathematical Physics
Asymptotic flexibility of globally hyperbolic manifolds
[Flexibilité asymptotique des varietées globalment hyperboliques]
Comptes Rendus. Mathématique, Tome 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
Müller, Olaf 1

1 Fakultät für Mathematik, Universität Regensburg, Universitätsstr. 31, 93053 Regensburg, Germany
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Müller, Olaf. Asymptotic flexibility of globally hyperbolic manifolds. Comptes Rendus. Mathématique, Tome 350 (2012) no. 7-8, pp. 421-423. doi : 10.1016/j.crma.2012.03.015. http://www.numdam.org/articles/10.1016/j.crma.2012.03.015/

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

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

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

[5] Verch, R. 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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