Complete Kähler-Einstein metrics under certain holomorphic covering and examples

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Kähler manifolds (32Q15) Kähler-Einstein manifolds (32Q20)

Cites Work

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Negative holomorphic curvature and positive canonical bundle
Kähler manifolds of semi-negative holomorphic sectional curvature
A remark on our paper ``negative holomorphic curvature and positive canonical bundle
Higher canonical asymptotics Kähler-Einstein metrics on quasi-projective manifolds
Kähler-Einstein metrics of negative Ricci curvature on general quasi-projective manifolds
The Ahlfors-Schwarz lemma in several complex variables
Ricci flow and the uniformization on complete noncompact Kähler manifolds
Nonexistence for complete Kähler-Einstein metrics on some noncompact manifolds
An extension of a theorem of Wu-Yau
Quasi-negative holomorphic sectional curvature and positivity of the canonical bundle
Asymptotics of complete Kähler-Einstein metrics -- negativity of the holomorphic sectional curvature
On the canonical line bundle and negative holomorphic sectional curvature
Complex-analytic properties of certain Zariski open sets on algebraic varieties
Canonical metrics on the moduli space of Riemann surfaces. I
Carathéodory measure hyperbolicity and positivity of canonical bundles
A General Schwarz Lemma for Kahler Manifolds
Differential equations on riemannian manifolds and their geometric applications
Intrinsic distances, measures and geometric function theory
On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation

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