Stability of Kähler metrics in deformations of non-compact complex manifolds of dimension two

DOI10.2977/prims/1195180881zbMath0578.32036OpenAlexW2086571446MaRDI QIDQ1066319

Kensho Takegoshi

Publication date: 1984

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195180881

zbMATH Keywords

Kähler metricholomorphic line bundle\({\bar \partial }\)-Neumann problemdeformation of a complex manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Deformations of general structures on manifolds (58H15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Differential complexes (58J10) Deformations of complex structures (32G05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (1)

A non-existence theorem for pluriharmonic maps of finite energy

Cites Work

• Unnamed Item
• On deformations of complex analytic structures. II
• On deformations of complex analytic structures. III: Stability theorems for complex structures
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Analytic sheaf cohomology groups of dimension n of \(n\)-dimensional noncompact complex manifolds
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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