Hölder continuous potentials on manifolds with partially positive curvature
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Publication:3160683
DOI10.1017/S1474748010000113zbMath1207.32034arXiv0904.2578OpenAlexW2963322480MaRDI QIDQ3160683
Publication date: 8 October 2010
Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.2578
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Complex Monge-Ampère operators (32W20) General pluripotential theory (32U15)
Related Items (5)
The Dini type condition in the existence of continuous solutions to the complex Monge-Ampère equations on compact Kähler manifolds ⋮ The complex Sobolev space and Hölder continuous solutions to Monge–Ampère equations ⋮ Hölder continuous solutions to Monge-Ampère equations ⋮ Characterization of Monge-Ampère measures with Hölder continuous potentials ⋮ Open problems in pluripotential theory
Cites Work
- Hölder continuity of solutions to the complex Monge-Ampère equation with the right-hand side in \(L^{p}\): the case of compact Kähler manifolds
- A gradient estimate in the Calabi-Yau theorem
- The complex Monge-Ampère equation
- Regularity of the degenerate Monge-Ampère equation on compact Kähler manifolds
- On Kähler manifolds with positive orthogonal bisectional curvature
- On the Kähler-Ricci flow on projective manifolds of general type
- The Kähler-Ricci flow on surfaces of positive Kodaira dimension
- Singular Kähler-Einstein metrics
- On regularization of plurisubharmonic functions on manifolds
- Monge-Ampere equation on compact Kahler manifolds
- Hölder continuous solutions to Monge-Ampère equations
- A counterexample to the regularity of the degenerate complex Monge–Ampère equation
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