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.
Accepté le :
Publié le :
@article{CRMATH_2012__350_7-8_421_0, author = {M\"uller, Olaf}, title = {Asymptotic flexibility of globally hyperbolic manifolds}, journal = {Comptes Rendus. Math\'ematique}, pages = {421--423}, publisher = {Elsevier}, volume = {350}, number = {7-8}, year = {2012}, doi = {10.1016/j.crma.2012.03.015}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2012.03.015/} }
TY - JOUR AU - Müller, Olaf TI - Asymptotic flexibility of globally hyperbolic manifolds JO - Comptes Rendus. Mathématique PY - 2012 SP - 421 EP - 423 VL - 350 IS - 7-8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2012.03.015/ DO - 10.1016/j.crma.2012.03.015 LA - en ID - CRMATH_2012__350_7-8_421_0 ER -
%0 Journal Article %A Müller, Olaf %T Asymptotic flexibility of globally hyperbolic manifolds %J Comptes Rendus. Mathématique %D 2012 %P 421-423 %V 350 %N 7-8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2012.03.015/ %R 10.1016/j.crma.2012.03.015 %G en %F CRMATH_2012__350_7-8_421_0
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://archive.numdam.org/articles/10.1016/j.crma.2012.03.015/
[1] On smooth Cauchy hypersurfaces and Gerochʼs splitting theorem, Communications in Mathematical Physics, Volume 243 (2003), pp. 461-470
[2] Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes, Communications in Mathematical Physics, Volume 257 (2005), pp. 43-50
[3] 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] Lorentzian manifolds isometrically embeddable in , Transactions of the American Mathematical Society, Volume 363 (2011), pp. 5367-5379
[5] Nuclearity, split property, and duality for the Klein–Gordon field in curved spacetime, Letters in Mathematical Physics, Volume 29 (1993), pp. 297-310
Cité par Sources :