Partial \(C^0\)-estimate for Kähler-Einstein metrics

DOI10.1007/s40304-013-0011-9zbMath1280.32014OpenAlexW2030610694MaRDI QIDQ376056

Tian, Gang

Publication date: 1 November 2013

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-013-0011-9

zbMATH Keywords

Kähler-Einstein metric

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler-Einstein manifolds (32Q20)

Related Items (19)

Gromov-Hausdorff limits of Kähler manifolds and the finite generation conjecture ⋮ Tian's partial \(C^0\)-estimate implies Hamilton-Tian's conjecture ⋮ Rectifiability of singular sets of noncollapsed limit spaces with Ricci curvature bounded below ⋮ Bergman kernels for a sequence of almost Kähler-Ricci solitons ⋮ Kähler manifolds with curvature bounded below ⋮ Kähler-Ricci flow on Fano manifolds ⋮ The asymptotic behavior of Bergman kernels ⋮ Geometric methods of complex analysis. Abstracts from the workshop held May 16--22, 2021 (hybrid meeting) ⋮ A Guided Tour to Normalized Volume ⋮ Stability of valuations: higher rational rank ⋮ Dimension estimate of polynomial growth holomorphic functions ⋮ The partial \(C^0\)-estimate along a general continuity path and applications ⋮ Regularity of Kähler-Ricci flows on Fano manifolds ⋮ Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds ⋮ Orbifold regularity of weak Kähler-Einstein metrics ⋮ Some refinements of the partial \(C^0\) estimate ⋮ Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold ⋮ K‐Stability and Kähler‐Einstein Metrics ⋮ Kähler-Einstein metrics on Fano manifolds

Cites Work

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• Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
• Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry
• On Calabi's conjecture for complex surfaces with positive first Chern class
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Some isoperimetric inequalities and eigenvalue estimates
• On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold
• Constraints on singularities under Ricci curvature bounds

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