Pseudo-Riemannian metrics and Hirzebruch signature
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- by Peter R. Law PDF
- Proc. Amer. Math. Soc. 114 (1992), 791-794 Request permission
Abstract:
On compact, orientable, $4k$-dimensional manifolds, nonvanishing Hirzebruch signature is shown to be an obstruction to the existence of certain kinds of pseudo-Riemannian metrics.References
- André Avez, Essais de géométrie riemannienne hyperbolique globale. Applications à la relativité générale, Ann. Inst. Fourier (Grenoble) 13 (1963), no. fasc. 2, 105–190 (French). MR 167940
- John W. Milnor and James D. Stasheff, Characteristic classes, Annals of Mathematics Studies, No. 76, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. MR 0440554
- Ian R. Porteous, Topological geometry, 2nd ed., Cambridge University Press, Cambridge-New York, 1981. MR 606198
- Michael Spivak, A comprehensive introduction to differential geometry. Vol. IV, Publish or Perish, Inc., Boston, Mass., 1975. MR 0394452
Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 791-794
- MSC: Primary 58A12; Secondary 53C50, 57R20
- DOI: https://doi.org/10.1090/S0002-9939-1992-1070523-9
- MathSciNet review: 1070523