Compact differentiable 4-folds with quaternionic structures

DOI10.1007/BF01349256zbMath0411.57024MaRDI QIDQ1259329

Masahide Kato

Publication date: 1980

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163369

zbMATH Keywords

4-manifoldsquaternionic structuresalmost quaternionic structurecomplex affine structures

Mathematics Subject Classification ID

Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Compact complex surfaces (32J15)

Related Items (6)

Almost-Hermitian geometry ⋮ Canonical metrics on holomorphic Courant algebroids ⋮ Locally conformal Kähler structures in quaternionic geometry ⋮ Stable bundles on hypercomplex surfaces ⋮ Factorization of compact complex 3-folds which admit certain projective structures ⋮ Para-Hermitian and paraquaternionic manifolds

Cites Work

• Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
• Quaternionic manifolds
• Topology of Hopf surfaces
• On surfaces of class VII\(_0\)
• Variétés kählériennes compactes
• Kähler metrics on elliptic surfaces
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• On the Structure of Compact Complex Analytic Surfaces, II
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