Vanishing theorems for compact Hessian manifolds

DOI10.5802/aif.1065zbMath0586.57013OpenAlexW2331089767MaRDI QIDQ1071352

Hirohiko Shima

Publication date: 1986

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1986__36_3_183_0

zbMATH Keywords

duality theoremvanishing theoremscohomology for Hessian manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Algebraic topology on manifolds and differential topology (57R19) Duality in algebraic topology (55M05)

Related Items (7)

Harmonicity of gradient mappings of level surfaces in a real affine space ⋮ Geometry of Hessian manifolds ⋮ Invariant Koszul Form of Homogeneous Bounded Domains and Information Geometry Structures ⋮ A survey on curvatures of Hessian manifolds ⋮ Koszul lecture related to geometric and analytic mechanics, Souriau's Lie group thermodynamics and information geometry ⋮ Construction of projective special Kähler manifolds ⋮ Jean-Louis Koszul and the Elementary Structures of Information Geometry

Cites Work

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• Déformations de connexions localement plates
• Variétés localement plates et convexité
• Domaines bornés homogènes et orbites de groupes de transformations affines
• On Cohomology Groups of Compact Analytic Varieties with Coefficients in Some Analytic Faisceaux
• On a Differential-Geometric Method in the Theory of Analytic Stacks
• Note on Kodaira-Spencer's proof of Lefschetz theorems

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