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Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds
Authors:Yunhee Euh  JeongHyeong Park  Kouei Sekigawa
Institution:aDepartment of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea;bDepartment of Mathematics, Niigata University, Niigata 950-2181, Japan
Abstract:We study critical metrics for the squared L2-norm functionals of the curvature tensor, the Ricci tensor and the scalar curvature by making use of a curvature identity on 4-dimensional Riemannian manifolds.
Keywords:MSC: 53B20  53C20
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