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Comments on the Spinor Structure of Space-Time*

Published online by Cambridge University Press:  20 November 2018

K. K. Lee
K. K. Lee*
Affiliation:
Department of Mathematics University of Ottawa, Ottawa Ontario, Kin 6N5
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Abstract

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A simpler proof of the theorem on the spinor structure of space-time is given. Some geometrical insights are provided.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 437 - 438
Copyright
Copyright © Canadian Mathematical Society 1975

Footnotes

*

Partly supported by the National Science Foundation while the author was at PhysicsDepartment, Syracuse University, Syracuse, N.Y. 13210.

*

A space-time M is an orientable 4-dim differentiate manifold with a metric of Lorentz signature (—, +, +, +).

References

1. Geroch, R., Spinor Structure of Space-Time in General Relativity, J. Math. Phys., 9 (1968) 1739-1744.Google Scholar
2. Lee, K. K., Global Spinor Fields in Space-Time, G. R. G., 4 (1973) 421-433.Google Scholar
3. Milnor, J., Spin Structures on Manifolds, L'Enseignement Math., 9 (1963) 198-203; see also: R. Penrose, In Battelle Rencontres, (eds. C. M. DeWitt and J. A. Wheeler, Benjamin, N.Y., 1968); A. Lichnerowicz, In Battelle Rencontres.Google Scholar
4. Milnor, J. and Stasheff, J. D., Characteristic Classes, (Ann. Math. Studies &76, Princeton Univ. Press, 1974) p. 140.Google Scholar
5. Steenrod, N., The Topology of Fibre Bundles, (Princeton Univ. Press, N. J., 1951), p. 199.Google Scholar