Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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R-CRITICAL WEYL STRUCTURES

  • Published : 2002.03.01
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Abstract

Weyl structure can be viewed as generalizations of Riemannian metrics. We study Weyl structures which are critical points of the squared L$^2$ norm functional of the full curvature tensor, defined on the space of Weyl structures on a compact 4-manifold. We find some relationship between these critical Weyl structures and the critical Riemannian metrics. Then in a search for homogeneous critical structures we study left-invariant metrics on some solv-manifolds and prove that they are not critical.

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References

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