On Kodaira dimension of almost complex 4-dimensional solvmanifolds without complex structures

DOI10.1142/S0129167X21500750zbMath1486.53081arXiv2008.10881MaRDI QIDQ5157425

Andrea Cattaneo, Adriano Tomassini, Antonella Nannicini

Publication date: 18 October 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.10881

zbMATH Keywords

Kodaira dimensionalmost Kähler manifoldsalmost complex manifoldscanonical connection

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60)

Related Items (5)

Dolbeault harmonic (1,1)-forms on 4-dimensional compact quotients of Lie groups with a left invariant almost Hermitian structure ⋮ Almost-complex invariants of families of six-dimensional solvmanifolds ⋮ Rank of the Nijenhuis tensor on parallelizable almost complex manifolds ⋮ Kodaira dimensions of almost complex manifolds, I ⋮ Almost complex parallelizable manifolds: Kodaira dimension and special structures

Cites Work

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• Complex and Kähler structures on compact solvmanifolds
• Compact symplectic solvmanifolds not admitting complex structures
• Kodaira dimension of almost Kähler manifolds and curvature of the canonical connection
• Flows on some three dimensional homogeneous spaces
• Structure of locally conformally symplectic Lie algebras and solvmanifolds
• UNIMODULAR GROUPS OF TYPE ℝ³⋊ ℝ

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