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Moments and Huygens' principle for conformally invariant field equations in curved space-times

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Moments and Huygens' principle for conformally invariant field equations in curved space-times ANNALES DE L’I. H. P., SECTION A V. WÜNSCH Moments and Huygens’ principle for conformally invariant field equations in curved space-times Annales de l’I. H. P., section A, tome 60, no 4 (1994), p. 433-455. <http://www.numdam.org/item?id=AIHPA_1994__60_4_433_0> © Gauthier-Villars, 1994, tous droits réservés. L’accès aux archives de la revue « Annales de l’I. H. P., section A », implique l’accord avec les conditions générales d’utilisation (http://www. numdam.org/legal.php). Toute utilisation commerciale ou impression systé- matique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ p. 433 Moments and Huygens’ principle for conformally invariant field equations in curved space-times V. WÜNSCH Fachbereich Mathematik der Padagogischen Hochschule, 99089 Erfurt, Germany Ann. Henri Vol. 60, n° 4, 1994, ] Physique theorique ABSTRACT. - By means of a certain conformal covariant differentiation process we define an infinite sequence of conformally invariant tensors (moments) for Weyl’s neutrino equation in a curved space-time. In the cases of the conformally invariant-scalar wave equation and Maxwell’s equations such moments were introduced by Gunther. We prove some properties of the moments and study the relationship between the moments and the validity of Huygens’ principle for these conformally invariant field equations. Using suitable generating systems of conformally invariant tensors we derive the first moment equations and obtain from them results on Huygens’ principle. words : Conformally invariant field equations, moments, Huygens’ principle. Grace a un certain processus de differentiation de covariant conformes, nous définissons une suite infinie de tenseurs invariants confo

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