×

Fibre bundles associated with space-time. (English) Zbl 0204.29802

Im Hinblick auf die durchsichtige Formulierung physikalischer Theorien mit differentialgeometrischem Hintergrund (Feldtheorien, allgemeine Relativitätstheorie u.ä.) gibt der Verf. in der vorliegenden Arbeit eine kurzgefaßte Zusammenfassung der grundlegenden Eigenschaften und der Anwendungen von Faserbündeln, insbesondere im Zusammenhang mit Riemannschen Mannigfaltigkeiten vom Minkowski-Typ.
Reviewer: G. Berendt

MSC:

83C99 General relativity
57R99 Differential topology
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Einstein, A.; Bergmann, P. G., Ann. Math., 39, 683 (1938)
[2] Kaluza, T., Sitzungsber. Preuss. Akad. Wiss., 966 (1921)
[3] Kibble, T. W.B., J. Math. Phys., 2, 212 (1961)
[4] Kobayashi, S.; Nomizu, K., Foundations of Differential Geometry (1963), Interscience · Zbl 0119.37502
[5] Penrose, R., An Analysis of the Structure of Space-time (1966), mimeographed, Princeton, N.J.
[6] Sternberg, S., Lectures on Differential Geometry (1964), Prentice Hall · Zbl 0129.13102
[7] Utiyama, R., Phys. Rev., 101, 1597 (1956)
[8] Yang, C. N.; Mills, R. L., Phys. Rev., 96, 191 (1954)
[9] Kerner, R., Ann. de l’Inst. H. Poincaré, 9, 143 (1968)
[10] Kretschmann, E., Ann. Physik, 53, 575 (1917)
[11] Fock, V. A., The Theory of Space, Time, and Gravitation (1964), Macmillan: Macmillan New York, trans. from the Russian by N. Kemmer
[12] Anderson, J. L., Principles of Relativity Physics (1967), Academic Press: Academic Press New York
[13] Trautman, A., Commun. Math. Phys., 6, 248 (1967)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.