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Some remarks on conformal invariant theories on four-Lorentz manifolds. (English) Zbl 0297.53034


MSC:

53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
22E70 Applications of Lie groups to the sciences; explicit representations
22E43 Structure and representation of the Lorentz group
Full Text: DOI

References:

[1] Bass, R.W., Witten, L.: Rev. Mod. Phys.29, 452 (1957) · doi:10.1103/RevModPhys.29.452
[2] Brickell, F., Clark, R.S.: Differential Manifolds. London: Van Nostrand Reinhold Co. 1970 · Zbl 0199.56303
[3] Dierolf, P., Dierolf, S.: Private communication
[4] Geroch, R.: J. Math. Phys.8, 782 (1967) · Zbl 0158.46501 · doi:10.1063/1.1705276
[5] Glaser, V.: Commun. math. Phys.37, 257–272 (1974) · Zbl 0295.46064 · doi:10.1007/BF01645941
[6] Go, T.H., Mayer, D.: Rep. Math. Phys.5, 187–202 (1974) · Zbl 0306.53055 · doi:10.1016/0034-4877(74)90024-X
[7] Go, T.H., Kastrup, H.A., Mayer, D.: Properties of Dilatations and Conformal Transformations in Minkowski space, rev. version TH Aachen Preprint 1973
[8] Graev, M.I.: Amer. Math. Soc. Transl. (2)66, 1–62 (1968), § 1
[9] Hawking, S.W., Ellis, G.F.R.: The Large Scale Structure of Space-Time. London: Camb. Uni. Press 1973 · Zbl 0265.53054
[10] Hawking, S.W.: Proc. Roy. Soc. London, ser A308, 433–436 (1969) · Zbl 0181.57303 · doi:10.1098/rspa.1969.0018
[11] Helgason, S.: Diff. Geom. and Symmetry Spaces. New York: Academic Press 1962 · Zbl 0111.18101
[12] Kastrup, H.A.: Ann. Phys.9, 388 (1962); Nucl. Phy.58 (1964) · Zbl 0111.41204 · doi:10.1002/andp.19624640706
[13] Kobayashi, S.: Transformation Groups in Diff. Geom. Berlin-Heidelberg-New York: Springer 1972 · Zbl 0246.53031
[14] Kobayashi, S., Nomizu, K.: Foundations of Diff. Geom. I. New York: Interscience Publ. 1963 · Zbl 0119.37502
[15] Laue, H.: Nuovo Cimento3B, 55 (1971)
[16] Lüscher, M., Mack, G.: Global Conformal Invariance in QFT Preprint of Uni. Bern, August 1974
[17] Mack, G.: Group Theor. Approach to Conf. Inv. QFT, Preprint of Uni. Bern, February, 1974
[18] Mack, G., Salam, A.: Ann. Phys. (N. Y.)53, 174 (1969) · doi:10.1016/0003-4916(69)90278-4
[19] Mayer, D.: Conf. Invariant Causal Structures on Pseudo-Riemannian manifolds, Preprint of TH Aachen, April, 1974
[20] Miller, W.: Symmetry groups and their applications. New York: Academic Press 1972 · Zbl 0306.22001
[21] Osterwalder, K., Schrader, R.: Commun. Math. Phys.31, 83–112 (1973) · Zbl 0274.46047 · doi:10.1007/BF01645738
[22] Obata, M.: J. Diff. Geom.4, 311–333 (1970)
[23] Penrose, R.: Structure of Space-Time. In: Battle Rencontres, ed. C. DeWitt and J. A. Wheeler. New York: W. A. Benjamin Inc. 1968 · Zbl 0174.55901
[24] Robertson, H.P., Noonan, T.W.: Relativity and Cosmology, Philadelphia: W. B. Sanders Comp. 1969 · Zbl 0181.28505
[25] Rühl, W.: Commun. math. Phys.27, 53–86 (1972); Conformal Kinematic, Preprint of Uni. Kaiserslautern, 1973 · Zbl 0239.46035 · doi:10.1007/BF01649659
[26] Schaaf, M.: Reports on Math. Physics,4, 275–279, 1973 · Zbl 0267.22014 · doi:10.1016/0034-4877(73)90002-5
[27] Schroer, B., Swieca, J.A.: Phys. Rev. D, Vol.10, 480 (1974) · doi:10.1103/PhysRevD.10.480
[28] Segal, I.E.: Covariant Chronogeometry and Extragalactic Astronomy, MIT-Preprint, 1973
[29] Steenrod, N.: The Topology of Fibre Bundles, Princeton: University Press, 1951 · Zbl 0054.07103
[30] Todorov, I.T.: CERN-Preprint, Ref. TH. 1697-CERN, 1973
[31] Wolf, J.A.: Spaces of Constant Curvatures. New York: McGraw-Hill 1967 · Zbl 0162.53304
[32] Yano, K.: The theory of lie derivative and its applications. Amsterdam: North. Holl. 1957
[33] Zeemann, E.C.: J. Math. Phys.5, 490–493 (1964), cf. also [1] [4] [9] [23] · Zbl 0133.23205 · doi:10.1063/1.1704140
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