Abstract
Closed, compact, oriented, Lorentzian four-manifolds are investigated using elementary cobordism theory. The groups of cobordism classes of such manifolds under various cobordism relations are calculated. Oriented vector cobordism classes form an infinite free cyclic group and oriented cobordism classes form a subgroup of index two in the four-dimensional oriented cobordism group. The properties of compact five-manifolds bounded by closed, compact, oriented, Lorentzian four-manifolds are investigated and some speculations made on their possible interpretation.
Similar content being viewed by others
References
Anderson, D. W., Brown, E. H. and Peterson, F. P. (1967).Annals of Mathematics,86, 271.
Avez, A. (1964).Comptes Rendus de l'académie des sciences, Paris,252, 1934.Paris,252, 1934.
Conner, P. and Floyd, E. (1964).Differentiable Periodic Maps. Springer-Verlag.
Hirzebruch, F. (1966).Topological methods in Algebraic Geometry, 3rd. edn. Springer-Verlag.
Husemoller, D. (1966).Fibre Bundles. McGraw-Hill.
Markov, A. (1958).Dokladý Academii nauk SSSR,121, 218.
Markus, L. (1955).Annals of Mathematics,63 (2), 411.
Porteous, I. R. (1969).Topological Geometry. Van-Nostrand Reinhold.
Reinhart, B. L. (1963).Topology,2, 173.
Rohlin, V. A. (1951).Dokladý Academii nauk SSSR,81, 355.
Steenrod, N. E. (1951).The Topology of Fibre Bundles. Princeton University Press.
Strong, R. E. (1969). Notes on cobordism theory.Princeton Mathematical Notes.
Thom, R. (1954).Commentarii mathematici helvetici,28, 17.
Wall, C. T. C. (1960).Annals of Mathematics,72, 292.
Whiston, G. S. (1974).International Journal of Theoretical Physics, Vol. 11, No. 3, 285.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Whiston, G.S. Topics on space-time topology II. Int J Theor Phys 11, 341–351 (1974). https://doi.org/10.1007/BF01808089
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01808089