Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds |
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Authors: | Yunhee Euh JeongHyeong Park Kouei Sekigawa |
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Affiliation: | aDepartment of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea;bDepartment of Mathematics, Niigata University, Niigata 950-2181, Japan |
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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. |
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Keywords: | MSC: 53B20 53C20 |
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