Communications in Mathematical Physics

, Volume 23, Issue 4, pp 285–295 | Cite as

Theb-boundary of tensor bundles over a space-time

  • P. Hájíček
  • B. G. Schmidt
Article

Abstract

In [1] it was shown how to attach a boundary to any space-time. In the present paper a boundary is constructed for any bundle associated with the frame bundle of a space time. In such a way limits of tensor fields at boundary points of a space-time are defined. Using this we show that the Lorentz metric has always a unique continuous extension to theb-boundary of the space-time.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Boundary Point 

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References

  1. 1.
    Schmidt, B. G.: General relativity and gravitation1, 269 (1971).Google Scholar
  2. 2.
    Sternberg, S.: Lectures on differential geometry. Englewood Cliffs New Jersey: Prentice Hall 1964.Google Scholar
  3. 3.
    Hocking, J. G., Young, G. S.: Topology. Reading, Mass.: Addison-Wesley 1961.Google Scholar
  4. 4.
    Kobayashi, S., Nomizu, K.: Foundation of differential geometry, Vol. 1. New York: Interscience 1963.Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • P. Hájíček
    • 1
  • B. G. Schmidt
    • 2
  1. 1.Institut für Theoretische PhysikUniversität BernSwitzerland
  2. 2.Institut für Theoretische PhysikUniversität HamburgGermany

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