On the deformation theory of Calabi-Yau structures in strongly pseudo-convex manifolds

DOI10.1007/s00574-010-0019-7zbMath1209.32013OpenAlexW2079280478MaRDI QIDQ711429

Alireza Bahraini

Publication date: 26 October 2010

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-010-0019-7

zbMATH Keywords

Calabi-Yau manifoldsdeformation theorystrongly pseudo-convex manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Deformations of complex structures (32G05)

Cites Work

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• A note on complex Monge-Ampère equation in Stein manifolds
• Complex manifolds and deformation of complex structures. Transl. from the Japanese by Kazuo Akao
• On the extension of holomorphic functions from the boundary of a complex manifold
• Harmonic integrals on strongly pseudo-convex manifolds. II
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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