Abstract
We pose the problem of rough projective and rigid isotopic classification of the local invariants (of Tyurin) of four-dimensional manifolds with Lorentz metric (and the “intuitive” invariants connected with them); we give their isotopic classification, and reduce the general problem to an arithmetic one. We show the nontriviality of the classification cited for general relativity theory.
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Translated from Itogi Nauki i Tekhniki, Seriya Problemy Geometrii, Vol. 17, pp. 87–130, 1985.
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Nikulin, V.V. Local invariants of four-dimensional pseudo-Riemannian manifolds with Lorentz metric. J Math Sci 37, 1210–1238 (1987). https://doi.org/10.1007/BF01091860
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DOI: https://doi.org/10.1007/BF01091860