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LOCALLY HOMOGENEOUS CRITICAL METRICS ON FOUR-DIMENSIONAL MANIFOLDS

  • 발행 : 2007.01.31

초록

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.

키워드

참고문헌

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피인용 문헌

  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