Quasi-projective embeddings of noncompact complete Kähler manifolds of positive Ricci curvature and satisfying certain topological conditions

DOI10.1215/S0012-7094-91-06332-5zbMath0763.53065OpenAlexW1556014446MaRDI QIDQ1180465

Wing-Keung To

Publication date: 27 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06332-5

zbMATH Keywords

finite topological typebiholomorphic equivalent

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (4)

A new explicit complete Kähler metric on ℂ ⁿ ⋮ On complete noncompact Kähler manifolds with positive bisectional curvature ⋮ Immortal solution of the Ricci flow ⋮ Yau's uniformization conjecture for manifolds with non-maximal volume growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On subharmonic functions and differential geometry in the large
• Complete Ricci-flat Kähler manifolds of infinite topological type
• An embedding theorem of complete Kähler manifolds of positive Ricci curvature onto quasi-projective varieties
• Bounds on the dimension of \(L^ 2\) holomorphic sections of vector bundles over complete Kähler manifolds of finite volume
• Compactification of complete Kähler surfaces of finite volume satisfying certain curvature conditions
• Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay
• Uniqueness theorems of Hermitian metrics of seminegative curvature on quotients of bounded symmetric domains
• Compactifying complete Kähler-Einstein manifolds of finite topological type and bounded curvature
• Analyticity of sets associated to Lelong numbers and the extension of closed positive currents
• Fonctions entières (\(n\) variables) et fonctions plurisousharmoniques d'ordre fini dans \(C^ n\)
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• On complete open manifolds of positive curvature
• A topological characterisation of the affine plane as an algebraic variety
• The splitting theorem for manifolds of nonnegative Ricci curvature
• On the structure of complete manifolds of nonnegative curvature
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• The type of a surface and its total curvature
• A Complete Kahler Metric of Positive Curvature on C n
• An embedding theorem of complete Kähler manifolds of positive bisectional curvature onto affine algebraic varieties
• Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines
• Pseudoconvexity and the problem of Levi
• Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids

This page was built for publication: Quasi-projective embeddings of noncompact complete Kähler manifolds of positive Ricci curvature and satisfying certain topological conditions