Existence of holomorphic functions on almost complex manifolds

DOI10.1007/BF01179429zbMath0579.53032MaRDI QIDQ1067227

Oleg Mushkarov

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/173735

zbMATH Keywords

holomorphic functionsNijenhuis tensoralmost complex manifold

Mathematics Subject Classification ID

Local differential geometry of Hermitian and Kählerian structures (53B35) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Holomorphic functions of several complex variables (32A10)

Related Items (8)

Rank of the Nijenhuis tensor on parallelizable almost complex manifolds ⋮ Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds ⋮ On Bott-Chern and Aeppli cohomologies of almost complex manifolds and related spaces of harmonic forms ⋮ Almost complex manifolds with non-degenerate torsion ⋮ Partially integrable almost complex structures ⋮ Dolbeault cohomology for almost complex manifolds ⋮ Partial integrability of compatible almost complex structures on twistor spaces ⋮ Maximally non-integrable almost complex structures: an \(h\)-principle and cohomological properties

Cites Work

• Complex analytic coordinates in almost complex manifolds
• The structure of nearly Kähler manifolds
• The geometry and structure of isotropy irreducible homogeneous spaces
• Flat manifolds with parallel torsion
• Nearly Kähler manifolds
• Compact Homogeneous Almost Complex Spaces of Positive Characteristic
• Construction and Properties of Some 6-Dimensional Almost Complex Manifolds
• On the Geometry of the Tangent Bundle.
• Shorter Notes: Some Simple Examples of Symplectic Manifolds
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