Skip to main content
SpringerLink
Log in

Spinor structure of space-time

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

The spinor structure on space-time manifold is investigated in the frame of Crumeyrolle's approach. Some of his theorems are simplified. The equivalence of this approach to the Milnor and Lichnerowicz one is shown using topological properties of the group space of ℒ0. The equivalence of any two spinor structures on simply connected space-time is established.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Bourbaki, N. (1959).Éléments de mathématique, Part 1, Volume II, Algèbre, Chap. IX, Hermann, Paris.

    Google Scholar 

  • Chevalley, C. (1954).The Algebraic Theory of Spinors, Columbia University Press, New York.

    Google Scholar 

  • Crumeyrolle, A. (1969).Annales de l'Institut Henri Poincaré,11, 19.

    Google Scholar 

  • Crumeyrolle, A. (1970).Comptes Rendus Hebdomadaires des Seances de l' Academie des Sciences (Paris),271, 1070.

    Google Scholar 

  • Crumeyrolle, A. (1971).Annales de l'Institut Henri Poincaré,14, 309.

    Google Scholar 

  • Crumeyrolle, A. (1975).Proceedings of Symposia in Pure Mathematics,27, 53.

    Google Scholar 

  • Geroch, R. (1968).Journal of Mathematical Physics,9, 1739.

    Google Scholar 

  • Husemoller, D. (1966).Fiber Bundles, McGraw-Hill, New York.

    Google Scholar 

  • Kobayashi, S., and Nomizu, K. (1963).Foundations of Differential Geometry I, J. Wiley, New York.

    Google Scholar 

  • Lichnerowicz, A. (1968). Topics on space-time, inBattelle Recontres; 1967 Lectures in Mathematics and Physics, de Witt, C. M., and Wheeler, J. A., eds., Chapter V, p. 115, W. A. Benjamin Inc., New York-Amsterdam.

    Google Scholar 

  • Milnor, J. (1963).L'Enseignement Mathématique,9, 198.

    Google Scholar 

  • Trautman, A. (1973). Theory of gravitation, inThe Physicist's Conception of Nature, Mehra, J., ed., p. 179, D. Reidel, Dordrecht.

    Google Scholar 

  • Whiston, G. (1973).International Journal of Theoretical Physics,8, 99.

    Google Scholar 

  • Whiston, G. (1975).International journal of Theoretical Physics,12, 225.

    Google Scholar 

Download references

Author information

Author notes

  1. Krystyna Bugajska

    Present address: Instytut Fizyki Uniwersytetu Ślaskiego, ul. Uniwersytecka 4, 40-007, Katowice, Poland

Authors and Affiliations

  1. Institute of Physics, Silesian University, Katowice, Poland

    Krystyna Bugajska

Authors
  1. Krystyna Bugajska
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Partly supported by the Polish Government under the Research Program MR I.7.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bugajska, K. Spinor structure of space-time. Int J Theor Phys 18, 77–93 (1979). https://doi.org/10.1007/BF00673018

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00673018

Keywords

Search

Navigation