Uniqueness of Sasaki-Einstein metrics

DOI10.2748/tmj/1347369373zbMath1253.53047arXiv0906.2665OpenAlexW2027490033MaRDI QIDQ1762351

Ken'ichi Sekiya, Yasufumi Nitta

Publication date: 23 November 2012

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2665

zbMATH Keywords

Einstein metricsSasaki manifoldstransverse Kähler geometry

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Contact manifolds (general theory) (53D10)

Related Items (11)

Uniqueness of constant scalar curvature Sasakian metrics ⋮ On the convergence of the Sasaki \(J\)-flow ⋮ Stability and convergence of the Sasaki-Ricci flow ⋮ Brieskorn manifolds, positive Sasakian geometry, and contact topology ⋮ Contact structures of Sasaki type and their associated moduli ⋮ Regularity of the geodesic equation in the space of Sasakian metrics ⋮ Energy properness and Sasakian-Einstein metrics ⋮ Affine Mirković-Vilonen polytopes ⋮ Uniqueness of Sasaki-Einstein metrics ⋮ The Sasaki join and admissible Kähler constructions ⋮ Gap theorems for Ricci-harmonic solitons

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• A new infinite class of Sasaki-Einstein manifolds
• Einstein Metrics on Exotic Spheres in Dimensions 7, 11, and 15
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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