On \(L^2\)-estimates for \(\overline{\partial}\) on pseudoconvex domains in a complete Kähler manifold with positive holomorphic bisectional curvature
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Publication:447878
DOI10.1016/j.crma.2012.07.010zbMath1251.32031OpenAlexW2069867185MaRDI QIDQ447878
Publication date: 30 August 2012
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2012.07.010
Kähler manifoldspositive holomorphic bisectional curvature\(\overline{\partial}\)-operatorplurisubharmonic defining functions
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Cites Work
- The \(\bar\partial\)-Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in \(\mathbb{C}P^n\) with \(n \geq 3\)
- Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
- On Kähler manifolds of positive bisectional curvature and a theorem of Hartogs
- Sets with positive reach
- Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
- Pseudoconvex domains on a Kähler manifold with positive holomorphic bisectional curvature
- Pseudoconvexité locale dans les variétés kähleriennes
- A Sobolev mapping property of the Bergman kernel
- Domaines pseudoconvexes infinis et la métrique riemannienne dans un espace projectif
- $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
- Shapes and Geometries
- Curvature Measures
- Bounded p.s.h. functions and pseudoconvexity in Kähler manifold
- Regularity of \(\overline{\partial}\) on pseudoconcave compacts and applications
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