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Proceedings of the American Mathematical Society

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Pseudo-Pontrjagin classes

Author: Yasuo Matsushita
Journal: Proc. Amer. Math. Soc. 93 (1985), 521-524
MSC: Primary 53C50; Secondary 53C05, 57R20
MathSciNet review: 774016
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Abstract: For a pseudo-Riemannian manifold we can construct a pseudo-Pontrjagin class as represented by a certain ad $ ({\text{S}}{{\text{O}}_0}(p,q))$-invariant form on the manifold so that it coincides with the Pontrjagin class of the manifold.

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  • [1] Shiing-shen Chern, Pseudo-Riemannian geometry and the Gauss-Bonnet formula, An. Acad. Brasil. Ci. 35 (1963), 17–26. MR 0155261
  • [2] Yasuo Matsushita, Thorpe-Hitchin inequality for compact Einstein 4-manifolds of metric signature (++–) and the generalized Hirzebruch index formula, J. Math. Phys. 24 (1983), no. 1, 36–40. MR 690367, 10.1063/1.525599
  • [3] Norman Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, Princeton, N. J., 1951. MR 0039258

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Keywords: Pseudo-Riemannian manifolds, pseudo-Pontrjagin classes, Pontrjagin classes
Article copyright: © Copyright 1985 American Mathematical Society