Huygens' principle on Petrov type N space-times
Annales de l'I.H.P. Physique théorique, Volume 61 (1994) no. 1, p. 87-102
@article{AIHPA_1994__61_1_87_0,
     author = {W\"unsch, V.},
     title = {Huygens' principle on Petrov type N space-times},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {61},
     number = {1},
     year = {1994},
     pages = {87-102},
     zbl = {0814.53060},
     mrnumber = {1303187},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1994__61_1_87_0}
}
Wünsch, V. Huygens' principle on Petrov type N space-times. Annales de l'I.H.P. Physique théorique, Volume 61 (1994) no. 1, pp. 87-102. http://www.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 169659 | Zbl 0173.36501

[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. | Numdam | Zbl 0595.35067

[DC] L. Defrise-Carter, Conformal Groups and Conformally Equivalent Isometry Groups, Comm. Math. Phys., Vol. 40, 1975, pp. 273-282. | MR 423241 | Zbl 0322.53008

[F] F.G. Friedlander, The Wave Equation on a Curved Space-time, Cambridge University Press; Cambridge, London, New York, Melbourne, 1975. | MR 460898 | Zbl 0316.53021

[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 1102666 | Zbl 0719.53055

[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 452436 | Zbl 0324.53012

[G2] P. Günther, Einige Sätze über Huygenssche Differentialgleichungen. Wiss. Zs. Karl-Marx-Univ. Leipzig, Vol. 14, 1965, pp. 497-507. | MR 198012 | Zbl 0173.12203

[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 174865 | Zbl 0125.05404

[G4] P. Günther, Huygens' Principle and Hyperbolic Equations, Boston, Academic Press, 1988. | MR 946226 | Zbl 0655.35003

[GW1] P. Günther and V. Wünsch, Maxwellsche Gleichungen und Huygenssches Prinzip I, Math. Nachr., Vol. 63, 1974, pp. 97-121. | MR 363377 | Zbl 0288.35042

[GW2] P. Günther and V. Wünsch, Contributions to a theory of polynomial conformal tensors, Math. Nachr., Vol. 126, 1986, pp. 83-100. | MR 846571 | Zbl 0636.53025

[GW3] P. Günther and V. Wünsch, On Some Polynomial Conformal Tensors, Math. Nachr, Vol. 124, 1985, pp. 217-238. | MR 827899 | Zbl 0592.53012

[Ha] J. Hadamard, Lectures on Cauchy's Problem in Linear Partial Differential Equations, Yale University Press, New Haven, 1923. | JFM 49.0725.04

[He] S. Helgason, Huygens' Principle for Wave Equations on Symmetric Spaces, J. Funkt. Anal., Vol. 107, 1992, pp. 279-288. | MR 1172025 | Zbl 0757.58036

[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 923526 | Zbl 0636.35073

[L] A. Lichnerowicz, Champs spinoriels et propagateurs en relativité générale, Bull. Soc. math. Fr., Vol. 92, 1964, pp. 11-100. | Numdam | MR 169667 | Zbl 0138.44301

[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 234700 | Zbl 0182.13403

[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 361452 | Zbl 0287.35058

[McL3] R.G. Mclenaghan, Huygens' principle, Ann. Inst. H. Poincaré, Vol. A 37, 1982, pp. 211-236. | Numdam | MR 694586 | Zbl 0528.35057

[McL, L] R.G. Mclenaghan and J. Leroy, Complex Recurrent Space-Times. Proc. Roy. Soc. London, Vol. A 327, 1972, pp. 229-249. | MR 309517 | Zbl 0243.53030

[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 0709.53053

[Ø] B. Ørsted, The Conformal Invariance of Huygens' Principle, Diff. Geom., Vol. 16, 1981, pp. 1-9. | MR 633620 | Zbl 0447.35059

[PR] R. Penrose and W. Rindler, Spinors and Space-time, Vol. 1, 1984, Vol. 2, 1986, Cambridge Univ. Press. | MR 776784

[RW] B. Rinke and V. Wünsch, Zum Huygensschen Prinzip bei der skalaren Wellengleichung, Beiträge zur Analysis, Vol. 18, 1981, pp. 43-75. | MR 650138 | Zbl 0501.53010

[S1] R. Schimming, Zur Gültigkeit des Huygensschen Prinzips bei einer speziellen Metrik, ZAMM, Vol. 51, 1971, pp. 201-208. | MR 290313 | Zbl 0221.35011

[S2] R. Schimming, Riemannsche Räume mit ebenfrontiger und ebener Symmetric, Math. Nachr, Vol. 59, 1974, pp. 129-162. | MR 339774 | Zbl 0274.53049

[W1] V. Wünsch, Über selbstadjungierte huygenssche Differentialgleichungen, Math. Nachr., Vol. 47, 1970, pp. 131-154. | MR 298221 | Zbl 0211.40803

[W2] V. Wünsch, Maxwellsche Gleichungen und Huygenssches Prinzip II, Math. Nachr., Vol. 73, 1976, pp. 19-36. | MR 426807 | Zbl 0288.35043

[W3] V. Wünsch, Über eine Klasse konforminvarianter Tensoren, Math. Nachr., Vol. 73, 1976, pp. 37-58. | MR 433342 | Zbl 0287.53014

[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 507097 | Zbl 0467.35067

[W5] V. Wünsch, Konforminvariante Variationsprobleme und Huygenssches Prinzip, Math. Nachr., Vol.120, 1985, pp. 175-193. | MR 808340

[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 910678 | Zbl 0627.53057

[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 1051239 | Zbl 0697.53027

[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 1288587 | Zbl 1010.58503