$4$-dimensional critical Weyl structures
Bull. Korean Math. Soc. 2001 Vol. 38, No. 3, 551-564
Jongsu Kim
Sogang University
Abstract : We view Weyl structures as generalizations of Riemannian metrics and study the critical points of geometric functionals 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.
Keywords : critical Weyl structure, Einstein-Weyl structure, quadratic Riemannian functionals
MSC numbers : Primary 58E11; Secondary 53C25
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