Critical metrics on connected sums of Einstein four-manifolds

DOI10.1016/j.aim.2015.11.054zbMath1334.53034arXiv1303.0827OpenAlexW2964286775MaRDI QIDQ5965069

Matthew J. Gursky, Jeff A. Viaclovsky

Publication date: 2 March 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0827

zbMATH Keywords

Einstein metricscritical metricsgluingquadratic curvature functionals

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Surgery and handlebodies (57R65)

Related Items (13)

Rigidity of generalized Bach-flat vacuum static spaces ⋮ The Calabi metric and desingularization of Einstein orbifolds ⋮ Some rigidity results on critical metrics for quadratic functionals ⋮ Critical metrics for quadratic curvature functionals on some solvmanifolds ⋮ Rigidity of critical metrics for quadratic curvature functionals ⋮ Four-dimensional closed manifolds admit a weak harmonic Weyl metric ⋮ Constant scalar curvature metrics on Hirzebruch surfaces ⋮ Expansions of solutions to extremal metric type equations on blowups of cscK surfaces ⋮ Rigidity of Riemannian manifolds with vanishing generalized Bach tensor ⋮ The mass of the product of spheres ⋮ From ALE to ALF gravitational instantons ⋮ Noncollapsed degeneration of Einstein 4-manifolds. II ⋮ Gluing Eguchi‐Hanson Metrics and a Question of Page

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