Infinitesimal holonomy group structure and geometrization
Annales de l'I.H.P. Physique théorique, Volume 31 (1979) no. 4, p. 387-398
@article{AIHPA_1979__31_4_387_0,
     author = {Norris, L. K. and Davis, W. R.},
     title = {Infinitesimal holonomy group structure and geometrization},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     publisher = {Gauthier-Villars},
     volume = {31},
     number = {4},
     year = {1979},
     pages = {387-398},
     zbl = {0432.53054},
     mrnumber = {574142},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1979__31_4_387_0}
}
Norris, L. K.; Davis, W. R. Infinitesimal holonomy group structure and geometrization. Annales de l'I.H.P. Physique théorique, Volume 31 (1979) no. 4, pp. 387-398. http://www.numdam.org/item/AIHPA_1979__31_4_387_0/

[1] S. Weinberg, Phys. Rev. Lett., t. 19, 1967, p. 1264; A. Salam, Nobel Symposium, Ed. N. Svartholm, Almqvist and Wiksell, Stochkolm, 1968.

[2] E.S. Abers and B.W. Lee, Phys. Rep., t. 9C, 1973, p. 1.

[3] A. Salam, in Physics and Contemporary Needs, Ed. Riazuddin, Plenum, New York, Vol. I, 1977, p. 301; Vol. II, 1978, p. 419.

[4] A. Trautman, Czech. J. Phys., t. B29, 1979, p. 107. | MR 532495

[5] J.F. Schell, J. Math. Phys., t. 2, 1961, p. 202. | MR 125533 | Zbl 0096.21903

[6] J.N. Golberg and R.P. Kerr, J. Math. Phys., t. 2, 1961, p. 327, 332. | Zbl 0097.42305

[7] H.G. Loos, Ann. Phys., t. 36, 1966, p. 486. | MR 205653

[8] H.G. Loos, Nuc. Phys., t. 72, 1965, p. 677; J. Math. Phys., t. 8, 1967, p. 2114. | MR 213128 | Zbl 0155.57002

[9] A. Nijenhuis, Indag. Math., t. 15, 1953, p. 233, 241. | MR 63737

[10] J.A. Schouten, Ricci Calculus, Springer-Verlag, Berlin, Heidelberg and Göttingen, 1954. | MR 516659 | Zbl 0057.37803

[11] S. Kobayashi and K. Nomizu, Foundations of Differential Geometry, Vol. I, John Wiley, Interscience, New York and London, 1963. | MR 152974 | Zbl 0119.37502

[12] A. Lichnerowicz, Global Theory of Connections and Holonomy Groups, Ed. M. Cole, Noordhoff International, Leyden, 1976. | MR 413000 | Zbl 0337.53031

[13] See, for example, F.W. Hehl, P. Von Der Heyde, G.D. Kerlick and J.M. Nester, Rev. Mod. Phys., t. 48, 1976, p. 393; F.W. Hehl, Y. Ne'Eman, J. Nitsch and P. Von Der Heyde, Phys. Lett., t. 78B, 1978, p. 102.

[14] F.W. Hehl, J. Nitsch and P. Von Der Heyde, Gravitation and Poincaré Field Theory with Quadratic Lagrangian to appear in Einstein commemorative volume, 1979 (preprint).

[15] W.K. Atkins, W.M. Baker and W.R. Davis, Phys. Lett., 61A, 1977, p. 363. | MR 462433

[16] W.R. Davis, W.K. Atkins and W.M. Baker, Nuovo Cimento, 44B, 1978, p. 23.

[17] M. Kaku, P.K. Townsend and P. Van Nieuwenhuizen, Phys. Lett., t. 69B, 1977, p. 304. | MR 446293

[18] F. Mansouri, Phys. Rev. Lett., t. 42, 1979, p. 1021.

[19] P.B. Yasskin, Phys. Rev. D, t. 12, 1975, p. 2212. | MR 475678

[20] K. Borchsenius, Phys. Rev. D, t. 13, 1976, p. 2707. | MR 446318

[21] S.W. Hawking and G.F.R. Ellis, The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge, 1973, p. 85. | MR 424186 | Zbl 0265.53054

[22] W. Drechsler and M.E. Mayer, Fibre Bundle Techniques in Gauge Theories, Springer-Verlag, Berlin, Heidelberg and New York, 1977. | Zbl 0364.55009

[23] C.N. Yang, Phys. Rev. Lett., t. 33, 1974, p. 445. | MR 401005

[24] P. Olesen, Phys. Lett., t. 71B, 1977, p. 189. | MR 496399

[25] G.Y. Rainich, Trans. Am. Math. Soc., t. 27, 1925, p. 106. | JFM 51.0713.08 | MR 1501302

[26] C.W. Misner and J.A. Wheeler, Ann. Phys., t. 2, 1957, p. 525. | MR 93387 | Zbl 0078.19106

[27] T. Eguchi, Phys. Rev. D, t. 13, 1976, p. 1511. | MR 468920

[28] L. Castillejo, M. Kugler and R.Z. Roskies, Phys. Rev. D, t. 19, 1979, p. 1782. | MR 530326

[29] L.K. Norris and W.R. Davis, « The Infinitesimal Holonomy Group Structure of Einstein-Maxwell Space-times », Nuovo Cimento (in press, 1979). | MR 554653