Huygens' principle on Petrov type N space-times
Annales de l'I.H.P. Physique théorique, Tome 61 (1994) no. 1, pp. 87-102. 
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     number = {1},
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Wünsch, V. Huygens' principle on Petrov type N space-times. Annales de l'I.H.P. Physique théorique, Tome 61 (1994) no. 1, pp. 87-102. http://archive.numdam.org/item/AIHPA_1994__61_1_87_0/

[A] M. Alvarez, Zum Huygensschen Prinzip bei einigen Klassen spinorieller Feldgleichungen in gekrümmten Raum-Zeit-Mannigfaltrigkeiten, Dissertation A, Pädgogische Hochschule.

[AW] M. Alvarez and V. Wünsch, Zur Gültigkeit des Huygensschen Prinzips bei der Weyl-Gleichung und den homogenen Maxwellschen Gleichunge für Metriken vom Petrow-Typ N, Wiss. Zeitschr. d. Päd. Hochschule Erfurt/Mühlhausen, Math.-naturwissensch. Reihe 27, 1991, H. 2, pp. 77-91.

[B] Y. Bruhat, Sur la théorie des propagateurs, Ann. Mat. Pura Appl., Vol. 64, 1964, pp. 191-228. | MR | Zbl

[CM] J. Carminati and R.G. Mclenaghan, An Explicit Determination of the Spacetimes on Which the Conformally Invariant Scalar Wave Equation Satisfies Huygens' Principle, Ann. Inst. Henri Poincaré, Phys. théor., Vol. 44, 1986, pp. 115-153; Part. II, Vol. 47, 1987, pp. 337-354; Part. III, Vol. 48, 1988, pp. 77-96; Vol. 54, 1991, p. 9. | EuDML | Numdam | Zbl

[DC] L. Defrise-Carter, Conformal Groups and Conformally Equivalent Isometry Groups, Comm. Math. Phys., Vol. 40, 1975, pp. 273-282. | MR | Zbl

[F] F.G. Friedlander, The Wave Equation on a Curved Space-time, Cambridge University Press; Cambridge, London, New York, Melbourne, 1975. | MR | Zbl

[GeW1] R. Gerlach and V. Wünsch, Über konforminvariante Tensoren ungerader Stufe in gekrümmten Raum-Zeiten, Wiss. Zeitschr. d. Päd. Hochschule Erfurt-Mühlhausen, Math.-naturwissensch. Reihe 26, 1990, H. 1, pp. 20-32. | MR | Zbl

[GeW2] R. Gerlach and V. Wünsch, Über konforminvariante Tensoren der Stufe sechs in gekrümmten Raum-Zeiten, Wiss. Zeitschr. d. Päd. Hochschule Erfurt-Mühlhausen, Math.-naturwissensch. Reihe 27, 1991, H. 2, pp. 117-143.

[G1] P. Günther, Spinorkalkül und Normakoordinaten, ZAMM, Vol. 55, 1975, pp. 205- 210 | MR | Zbl

[G2] P. Günther, Einige Sätze über Huygenssche Differentialgleichungen. Wiss. Zs. Karl-Marx-Univ. Leipzig, Vol. 14, 1965, pp. 497-507. | MR | Zbl

[G3] P. Günther, Ein Beispiel einer nichttrivialen Huygensschen Differentialgleichung mit vier unabhängigen Veränderlichen. Archive Rat. Mech. and Analysis, Vol. 18, 1965, pp. 103-106. | MR | Zbl

[G4] P. Günther, Huygens' Principle and Hyperbolic Equations, Boston, Academic Press, 1988. | MR | Zbl

[GW1] P. Günther and V. Wünsch, Maxwellsche Gleichungen und Huygenssches Prinzip I, Math. Nachr., Vol. 63, 1974, pp. 97-121. | MR | Zbl

[GW2] P. Günther and V. Wünsch, Contributions to a theory of polynomial conformal tensors, Math. Nachr., Vol. 126, 1986, pp. 83-100. | MR | Zbl

[GW3] P. Günther and V. Wünsch, On Some Polynomial Conformal Tensors, Math. Nachr, Vol. 124, 1985, pp. 217-238. | MR | Zbl

[Ha] J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations, Yale University Press, New Haven, 1923. | JFM

[He] S. Helgason, Huygens' Principle for Wave Equations on Symmetric Spaces, J. Funkt. Anal., Vol. 107, 1992, pp. 279-288. | MR | Zbl

[I] R. Illge, Zur Gültigkeit des Huygensschen Prinzips bei hyperbolischen Differentialgleichungssystemen in statischen Raum-Zeiten, Zs. für Anal. und Anwendungen, Vol. 6, 1987, (5) pp. 385-407. | MR | Zbl

[L] A. Lichnerowicz, Champs spinoriels et propagateurs en relativité générale, Bull. Soc. math. Fr., Vol. 92, 1964, pp. 11-100. | Numdam | MR | Zbl

[McL1] R.G. Mclenaghan, An Explicit Determination of the Empty Space-times on which the Wave Equation Satisfies Huygens' Principle, Proc. Cambridge Phil. Soc., Vol. 65, 1969, pp. 139-155. | MR | Zbl

[McL2] R.G. Mclenaghan, On the Validity of Huygens' Principle for Second Order Partial Differential Equations With Four Independent Variables. Part. I. Derivation of Necessary Conditions, Ann. Inst. H. Poincaré, Vol. A 20, 1974, pp. 153-188. | Numdam | MR | Zbl

[McL3] R.G. Mclenaghan, Huygens' principle, Ann. Inst. H. Poincaré, Vol. A 37, 1982, pp. 211-236. | Numdam | MR | Zbl

[McL, L] R.G. Mclenaghan and J. Leroy, Complex Recurrent Space-Times. Proc. Roy. Soc. London, Vol. A 327, 1972, pp. 229-249. | MR | Zbl

[McL, W] R.G. Mclenaghan and G.C. Williams, An explicit Determination of the Petrov Type D Space-times on which Weyl's Neutrino Equation and Maxwell's Equations Satisfy Huygens' Principle, Ann. Inst. Henri Poincaré, Vol. A 53, 1990, p. 217. | Numdam | Zbl

[Ø] B. Ørsted, The Conformal Invariance of Huygens' Principle, Diff. Geom., Vol. 16, 1981, pp. 1-9. | MR | Zbl

[PR] R. Penrose and W. Rindler, Spinors and Space-time, Vol. 1, 1984, Vol. 2, 1986, Cambridge Univ. Press. | MR

[RW] B. Rinke and V. Wünsch, Zum Huygensschen Prinzip bei der skalaren Wellengleichung, Beiträge zur Analysis, Vol. 18, 1981, pp. 43-75. | MR | Zbl

[S1] R. Schimming, Zur Gültigkeit des Huygensschen Prinzips bei einer speziellen Metrik, ZAMM, Vol. 51, 1971, pp. 201-208. | MR | Zbl

[S2] R. Schimming, Riemannsche Räume mit ebenfrontiger und ebener Symmetric, Math. Nachr, Vol. 59, 1974, pp. 129-162. | MR | Zbl

[W1] V. Wünsch, Über selbstadjungierte huygenssche Differentialgleichungen, Math. Nachr., Vol. 47, 1970, pp. 131-154. | MR | Zbl

[W2] V. Wünsch, Maxwellsche Gleichungen und Huygenssches Prinzip II, Math. Nachr., Vol. 73, 1976, pp. 19-36. | MR | Zbl

[W3] V. Wünsch, Über eine Klasse konforminvarianter Tensoren, Math. Nachr., Vol. 73, 1976, pp. 37-58. | MR | Zbl

[W4] V. Wünsch, Cauchy-Problem und Huygenssches Prinzip bei einigen Klassen spinorieller Feldgleichungen I, II, Beiträge zur Analysis, Vol. 12, 1978, pp. 47-76; Vol. 13, 1979, pp. 147-177. | MR | Zbl

[W5] V. Wünsch, Konforminvariante Variationsprobleme und Huygenssches Prinzip, Math. Nachr., Vol.120, 1985, pp. 175-193. | MR

[W6] V. Wünsch, C-Räume und Huygenssches Prinzip, Wiss. Zeitscher. d. Päd. Hochschule Erfurt-Mühlhausen, Math.-naturwissensch, Reihe 23, 1987, H. 1, pp. 103-111. | MR | Zbl

[W7] V. Wünsch, Huygens' Principle on Petrov Type D Space-Times, Ann. d. Physik, 7. Folge, Bd. 46, H. 8, 1989, pp. 593-597. | MR | Zbl

[W8] V. Wünsch, Moments and Huygens' Principle for Conformally Invariant Field Equations in Curved Space Times, Ann. Inst. Henri Poincaré, Vol. A60, 4, 1994. | Numdam | MR | Zbl