Bach-flat critical metrics for quadratic curvature functionals
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DOI: 10.1007/s10455-018-9606-4
Abstract: In this paper, we study the critical metrics for quadratic curvature functionals involving the Ricci curvature and scalar curvature in the space of Riemannian metrics with unit volume. For these functionals, Einstein metrics are always… read more here.
Keywords: metrics quadratic; curvature functionals; critical metrics; quadratic curvature ... See more keywords
Variational properties of quadratic curvature functionals
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DOI: 10.1007/s11425-017-9232-6
Abstract: In this paper, we investigate a class of quadratic Riemannian curvature functionals on closed smooth manifold M of dimension n ≥ 3 on the space of Riemannian metrics on M consisting of metrics with unit… read more here.
Keywords: curvature functionals; quadratic curvature; properties quadratic; variational properties ... See more keywords