Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds
type: Item
instance of: scholarly article
title: Dolbeault cohomology groups of compact pseudo-Kähler homogeneous manifolds
zbMATH Open document ID: 1151.53352
author: Takumi Yamada
published in: Journal of Geometry and Physics
publication date: 2008-10-22T00:00:00Z
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 58J10
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53D30
Mathematics Subject Classification ID: 53D05
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 5355772
zbMATH Keywords: pseudo-Kähler structure
zbMATH Keywords: solvable Lie group
zbMATH Keywords: Dolbeault cohomology group
MaRDI profile type: Publication
full work available at URL: j.geomphys.2008.04.002
OpenAlex ID: W2086211025
cites work: Group actions on the Dolbeault cohomology of homogeneous manifolds
cites work: A differential complex for Poisson manifolds
cites work: Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology
cites work: Lefschetz complex conditions for complex manifolds
cites work: Pseudo-Kähler metrics on six-dimensional nilpotent Lie algebras
cites work: Classification of compact homogeneous pseudo-Kähler manifolds
cites work: Coeffective and de Rham cohomologies of symplectic manifolds
cites work: Q4846449
cites work: A splitting theorem for compact complex homogeneous spaces with a symplectic structure
cites work: Q5513537
cites work: Q3973768
cites work: Q5285619
cites work: Examples of non-resolvable induced actions on the Dolbeault cohomology
cites work: Sur les Espaces Homogènes Kählériens d’un Groupe de Lie Réductif
cites work: On the first Betti number of compact quotient spaces of higher-dimensional symmetric spaces
cites work: Complex parallelisable manifolds and their small deformations
cites work: On the cohomology of compact homogeneous spaces of nilpotent Lie groups
cites work: On the First Cohomology of Discrete Subgroups of Semi-Simple Lie Groups
cites work: Vanishing theorems for cohomology groups associated to discrete subgroups of semisimple Lie groups
cites work: On compact complex parallelisable solvmanifolds
cites work: Lattices on Benson-Gordon type solvable Lie groups
cites work: Q5825483
cites work: Complex Parallisable Manifolds
cites work: Complex analytic geometry of complex parallelizable manifolds
cites work: Harmonic cohomology groups on compact symplectic nilmanifolds
cites work: A construction of compact pseudo-Kähler solvmanifolds with no Kähler structures
cites work: A pseudo-Kähler structure on a nontoral compact complex parallelizable colvmanifold
cites work: A structure theorem of compact complex parallelizable pseudo-Kähler solvmanifolds
cites work: Hodge structure on symplectic manifolds
DOI: 10.1016/J.GEOMPHYS.2008.04.002
description: scientific article; zbMATH DE number 5355772