• Title/Summary/Keyword: closed Einstein-Weyl structure

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4-DIMENSIONAL CRITICAL WEYL STRUCTURES

  • Kim, Jong-Su
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.3
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    • pp.551-564
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    • 2001
  • We view Weyl structures as generalizations of Riemannian metrics and study the critical points of geometric functional which involve scalar curvature, defined on the space of Weyl structures on a closed 4-manifold. The main goal here is to provide a framework to analyze critical Weyl structures by defining functionals, discussing function spaces and writing down basic formulas for the equations of critical points.

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