LOCALLY HOMOGENEOUS CRITICAL METRICS ON FOUR-DIMENSIONAL MANIFOLDS

Title & Authors
LOCALLY HOMOGENEOUS CRITICAL METRICS ON FOUR-DIMENSIONAL MANIFOLDS
Kang, Yu-Tae;

Abstract
We classify complete, locally homogeneous metrics with finite volume on four-dimensional manifolds which are critical points for the squared $\small{L^2-norm}$ functionals of either the full Riemannian curvature tensor or the Weyl curvature tensor defined on the space of Riemannian metrics.
Keywords
locally homogeneous metric;critical metric;$\small{L^2}$-norm curvature functional;
Language
English
Cited by
1.
Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds, Differential Geometry and its Applications, 2011, 29, 5, 642
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