On Geroch’s counterexample to the algebraic Hopf conjecture
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- by Paul F. Klembeck PDF
- Proc. Amer. Math. Soc. 59 (1976), 334-336 Request permission
Abstract:
In this paper we present a simplified version of Geroch’s counterexample to the algebraic Hopf conjecture which requires only a knowledge of the formal symmetries of Riemannian curvature tensors.References
- R. L. Bishop and S. I. Goldberg, Some implications of the generalized Gauss-Bonnet theorem, Trans. Amer. Math. Soc. 112 (1964), 508–535. MR 163271, DOI 10.1090/S0002-9947-1964-0163271-8
- Robert Geroch, Positive sectional curvatures does not imply positive Gauss-Bonnet integrand, Proc. Amer. Math. Soc. 54 (1976), 267–270. MR 390961, DOI 10.1090/S0002-9939-1976-0390961-8 P. Klembeck, Algebraic curvatures and curvatures (to appear).
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 334-336
- MSC: Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-1976-0428225-6
- MathSciNet review: 0428225