Invariant metrics on negatively pinched complete Kähler manifolds

DOI10.1090/jams/933OpenAlexW2977438728MaRDI QIDQ5216994

Damin Wu, Shing Tung Yau

Publication date: 21 February 2020

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.09475

zbMATH Keywords

Kähler manifoldEinstein-Kähler metricBergman metricKobayashi-Royden metric

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Kähler-Einstein manifolds (32Q20) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Negative curvature complex manifolds (32Q05)

Related Items

Bergman metric on the symmetrized bidisk and its consequences, Abstract boundaries and continuous extension of biholomorphisms, Invariant metrics on the complex ellipsoid, A note on the complete Kähler-Einstein metrics of disk bundles over compact homogeneous Kähler manifolds, Non-existence of complete Kähler metric of negatively pinched holomorphic sectional curvature, Hankel operators on domains with bounded intrinsic geometry, Hyperbolic metric, punctured Riemann sphere, and modular functions, Second Ricci flow on noncompact Hermitian manifolds, Compactness of the \(\overline{\partial} \)-Neumann problem on domains with bounded intrinsic geometry, The Kobayashi-Royden metric on punctured spheres, Two boundary rigidity results for holomorphic maps

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