Lefschetz complex conditions for complex manifolds

DOI10.1023/A:1020527112556zbMath1030.53072OpenAlexW1503654710MaRDI QIDQ1863966

Luis Ugarte, Marisa Fernández, Luis A. Cordero

Publication date: 12 March 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020527112556

zbMATH Keywords

nilmanifoldDolbeault cohomologysymplectic manifoldcomplex manifoldabelian complex structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Symplectic manifolds (general theory) (53D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56) Complex manifolds (32Q99) Algebraic topology on manifolds and differential topology (57R19)

Related Items (8)

Hodge numbers and invariant complex structures of compact nilmanifolds ⋮ On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds ⋮ Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds ⋮ Pseudo-Kähler metrics on six-dimensional nilpotent Lie algebras ⋮ Duality of Hodge numbers of compact complex nilmanifolds ⋮ A pseudo-Kähler structure on a nontoral compact complex parallelizable colvmanifold ⋮ On Bott-Chern cohomology and formality ⋮ Stability of pseudo-Kähler manifolds and cohomological decomposition

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