The geometry of domains with negatively pinched Kähler metrics

Kähler manifolds (32Q15) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Finite-type domains (32T25) Strongly pseudoconvex domains (32T15)

Cites Work

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Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type
On a theorem of Paul Yang on negatively pinched bisectional curvature
Characterizing domains by the limit set of their automorphism group
Complex geometry of convex domains that cover varieties
Complex product manifolds cannot be negatively curved
Geometry of domains with the uniform squeezing property
The Einstein-Kähler metric on \(\{| z| ^ 2+| w| ^{2p}<1\}\)
Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
Deforming the metric on complete Riemannian manifolds
On Kähler manifolds with negative holomorphic bisectional curvature
Finite type conditions for real hypersurfaces
Compactness of the \(\overline{\partial}\)-Neumann problem on convex domains
Curvature characterization of certain bounded domains of holomorphy
Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains
Ricci flow and the uniformization on complete noncompact Kähler manifolds
Geometry of Reinhardt domains of finite type in \(\mathbb{C}^2\)
A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary
Nonpositively curved Kähler metrics on product manifolds
Uniqueness theorems of Hermitian metrics of seminegative curvature on quotients of bounded symmetric domains
Characterizing strong pseudoconvexity, obstructions to biholomorphisms, and Lyapunov exponents
Intrinsic derivative, curvature estimates and squeezing function
Holomorphic bisectional curvature
Curvature bounds via Ricci smoothing
A General Schwarz Lemma for Kahler Manifolds
Convex Domains and Kobayashi Hyperbolicity
A gap theorem for the complex geometry of convex domains
On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
Invariant metrics on negatively pinched complete Kähler manifolds
On the Kähler-Einstein metric at strictly pseudoconvex points
Boundary behavior of the squeezing functions of ℂ-convex domains and plane domains
Some Implications of the Generalized Gauss-Bonnet Theorem

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