A construction of Poincaré–Einstein metrics of cohomogeneity one on the ball

DOI10.1090/proc/14525zbMath1429.53069arXiv1805.04505OpenAlexW2964227525MaRDI QIDQ5233976

Yoshihiko Matsumoto

Publication date: 9 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04505

zbMATH Keywords

unit ballBerger spheresconformal infinities

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Conformal structures on manifolds (53C18)

Related Items (2)

Cohomogeneity one Kähler-Ricci solitons under a Heisenberg group action and related metrics ⋮ On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity

Cites Work

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• Boundary regularity of conformally compact Einstein metrics
• Rigidity of conformally compact manifolds with the round sphere as the conformal infinity
• Einstein metrics, spinning top motions and monopoles
• Einstein metrics with prescribed conformal infinity on the ball
• On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity
• Twistor spaces, Einstein metrics and isomonodromic deformations
• Gap phenomena and curvature estimates for conformally compact Einstein manifolds
• The Ambient Metric (AM-178)
• Inhomogeneous Einstein metrics on complex line bundles

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