Communications in Mathematical Physics

, Volume 118, Issue 4, pp 591–596 | Cite as

Counter-examples to the generalized positive action conjecture

  • Claude LeBrun


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Scalar Curvature 
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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Claude LeBrun
    • 1
  1. 1.Department of MathematicsState University of New YorkStory BrookUSA

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