Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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LOCALLY HOMOGENEOUS CRITICAL METRICS ON FOUR-DIMENSIONAL MANIFOLDS

  • Published : 2007.01.31
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Abstract

We classify complete, locally homogeneous metrics with finite volume on four-dimensional manifolds which are critical points for the squared $L^2-norm$ functionals of either the full Riemannian curvature tensor or the Weyl curvature tensor defined on the space of Riemannian metrics.

Keywords

References

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Cited by

  1. Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds vol.29, pp.5, 2011, https://doi.org/10.1016/j.difgeo.2011.07.001