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Fundamental group of self-dual four-manifolds with positive scalar curvature

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Abstract

In the first part of the paper we show in a very simple manner that the fundamental groups of four-manifolds with a self-dual metric of positive scalar curvature admit a surjective homomorphism on ℤ, if there is a nontrivial representation. In the second part we outline a method how to construct negatively curved metrics in Taubs collars.

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Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem Givat Ram, 91904, Jerusalem, Israel

    Alexander G. Reznikov

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  1. Alexander G. Reznikov
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Correspondence to Alexander G. Reznikov.

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Reznikov, A.G. Fundamental group of self-dual four-manifolds with positive scalar curvature. Isr. J. Math. 97, 93–99 (1997). https://doi.org/10.1007/BF02774028

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  • DOI: https://doi.org/10.1007/BF02774028

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