Calabi-Yau structures and Einstein-Sasakian structures on crepant resolutions of isolated singularities
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Publication:455016
DOI10.2969/jmsj/06431005zbMath1262.53041arXiv0906.5191OpenAlexW2144801327MaRDI QIDQ455016
Publication date: 2 October 2012
Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.5191
crepant resolutionsMonge-Ampere equationCalabi-Yau structuresEinstein-Sasakian metricRicci-flat Kähler metric
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)
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Cites Work
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- Examples of asymptotically conical Ricci-flat Kähler manifolds
- Explicit toric metric on resolved Calabi-Yau cone
- On Calabi's conjecture for complex surfaces with positive first Chern class
- Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals
- Ricci-flat Kähler metrics on affine algebraic manifolds. II
- Sasaki-Einstein manifolds and volume minimisation
- Ricci-flat Kähler metrics on crepant resolutions of Kähler cones
- Weighted Sobolev inequalities and Ricci flat manifolds
- Hyperkähler metrics and supersymmetry
- Kähler-Einstein metrics on complex surfaces with \(C_ 1>0\)
- De Rham-Hodge theory for Riemannian foliations
- The construction of ALE spaces as hyper-Kähler quotients
- Complete Kähler manifolds with zero Ricci curvature. II
- On hyper-Kähler manifolds of type \(A_{\infty}\) and \(D_{\infty}\)
- On positive Sasakian geometry
- Stability results for Harnack inequalities.
- Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds
- Weighted Sobolev inequalities under lower Ricci curvature bounds
- Métriques kählériennes et fibrés holomorphes
- Classical solutions of fully nonlinear, convex, second-order elliptic equations
- Existence of complete Kähler Ricci-flat metrics on crepant resolutions
- Complete Kahler Manifolds with Zero Ricci Curvature. I
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