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Counter-examples to the generalized positive action conjecture

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Abstract

We give examples of complete locally asymptotically flat Riemannian 4-manifolds with zero scalar curvature and negative mass. The generalized positive action conjecture of Hawking and Pope [5] is therefore false.

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Authors and Affiliations

  1. Department of Mathematics, State University of New York, 11794-3651, Story Brook, New York, USA

    Claude LeBrun

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  1. Claude LeBrun
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Communicated by S.-T. Yau

Research partially supported by NSF grant #DMS-8704401

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LeBrun, C. Counter-examples to the generalized positive action conjecture. Commun.Math. Phys. 118, 591–596 (1988). https://doi.org/10.1007/BF01221110

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  • DOI: https://doi.org/10.1007/BF01221110

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