Critical Metrics for Riemannian Curvature Functionals

zbMath1360.53005arXiv1405.6080MaRDI QIDQ5506861

Jeff A. Viaclovsky

Publication date: 16 December 2016

Full work available at URL: https://arxiv.org/abs/1405.6080

zbMATH Keywords

Euler-Lagrange equationscritical pointsEinstein manifoldconformal geometrycritical metricsquadratic curvature functionalsanti-self-dual metricsspace of Riemannian metricsEinstein-Hilbert functionalRiemannian curvature functionalmoduli space of Einstein metrics\(B^t\)-flat metrics

Mathematics Subject Classification ID

Moduli problems for differential geometric structures (58D27) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Optimization of shapes other than minimal surfaces (49Q10) Critical metrics (58E11) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Manifolds of metrics (especially Riemannian) (58D17)

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