Small deformations and non-left-invariant complex structures on six-dimensional compact solvmanifolds

DOI10.1016/j.difgeo.2009.10.003zbMath1190.53047arXivmath/0703756OpenAlexW2035055105WikidataQ115357174 ScholiaQ115357174MaRDI QIDQ960874

Keizo Hasegawa

Publication date: 29 March 2010

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703756

zbMATH Keywords

solvmanifoldsleft-invariant complex structurespseudo-Kähler structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Homogeneous complex manifolds (32M10) Deformations of complex structures (32G05)

Related Items (9)

Non-invariant deformations of left-invariant complex structures on compact Lie groups ⋮ Formality and hard Lefschetz property of aspherical manifolds ⋮ Bott-Chern cohomology of solvmanifolds ⋮ Techniques of computations of Dolbeault cohomology of solvmanifolds ⋮ On the stability of compact pseudo-Kähler and neutral Calabi-Yau manifolds ⋮ Generalized deformations and holomorphic Poisson cohomology of solvmanifolds ⋮ On Bott-Chern cohomology and formality ⋮ Stability of pseudo-Kähler manifolds and cohomological decomposition ⋮ Deformations of higher-page analogues of \(\partial{\bar{\partial}} \)-manifolds

Cites Work

• Homogeneous complex surfaces
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• Complex moduli and pseudo-Kähler structures on three-dimensional compact complex solvmanifolds
• Classification of compact homogeneous pseudo-Kähler manifolds
• Complex parallelisable manifolds and their small deformations
• A note on compact solvmanifolds with Kähler structures
• Über fast-uniforme Untergruppen komplexer Liegruppen und auflösbare komplexe Mannigfaltigkeiten
• A pseudo-Kähler structure on a nontoral compact complex parallelizable colvmanifold
• Invariant complex structures on reductive Lie groups.
• Complex analytic geometry of complex parallelizable manifolds
• Closed Manifolds with Homogeneous Complex Structure
• Complex Parallisable Manifolds
• Complex structures on nilpotent Lie algebras

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