A class of nonpositively curved Kähler manifolds biholomorphic to the unit ball in \(\mathbb C^n\)

DOI10.1016/j.crma.2006.01.005zbMath1090.32011arXivmath/0512409OpenAlexW2130759075MaRDI QIDQ819848

Harish Seshadri, Kaushal Verma

Publication date: 29 March 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512409

zbMATH Keywords

holomorphic sectional curvatureCR-structureKähler manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) CR manifolds as boundaries of domains (32V15)

Related Items (2)

Locally removable singularities for Kähler metrics with constant holomorphic sectional curvature ⋮ A metric analogue of Hartogs' theorem

Cites Work

• Unnamed Item
• Gap theorems for noncompact Riemannian manifolds
• On the existence of bounded holomorphic functions on complete Kähler manifolds
• Manifolds of nonpositive curvature
• Spherical hypersurfaces in complex manifolds
• Complete Kähler manifolds with nonpositive curvature of faster than quadratic decay
• Deformation of complex structures, estimates for the (partial d) equation, and stability of the Bergman kernel

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