Hermitian geometry of Lie algebras with abelian ideals of codimension 2
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Publication:6115065
DOI10.1007/s00209-023-03315-5zbMath1520.53060arXiv2212.04887OpenAlexW4382939266MaRDI QIDQ6115065
Publication date: 12 July 2023
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.04887
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Structure theory for Lie algebras and superalgebras (17B05) Connections (general theory) (53C05)
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Cites Work
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- On low-dimensional solvmanifolds
- Locally conformal Hermitian metrics on complex non-Kähler manifolds
- Tamed symplectic forms and strong Kähler with torsion metrics
- On non-Kähler compact complex manifolds with balanced and astheno-Kähler metrics
- Hermitian structures on six-dimensional nilmanifolds
- La 1-forme de torsion d'une variété hermitienne compacte
- A local index theorem for non-Kähler manifolds
- A nonlinear elliptic system for maps from Hermitian to Riemannian manifolds and rigidity theorems in Hermitian geometry
- Gauduchon metrics with prescribed volume form
- Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures
- On curvature tensors of Hermitian manifolds
- On compact Hermitian manifolds with flat Gauduchon connections
- On the \(\partial\overline{\partial}\)-lemma and Bott-Chern cohomology
- Some recent progress in non-Kähler geometry
- Some remarks on Hermitian manifolds satisfying Kähler-like conditions
- Generalized Kähler almost abelian Lie groups
- Locally conformally balanced metrics on almost abelian Lie algebras
- On Gauduchon Kähler-like manifolds
- Hermitian structures on a class of almost nilpotent solvmanifolds
- Lie groups with flat Gauduchon connections
- Complex nilmanifolds and Kähler-like connections
- On the symplectic curvature flow for locally homogeneous manifolds
- Balanced Hermitian structures on almost abelian Lie algebras
- Strominger connection and pluriclosed metrics
- On Gauduchon connections with Kähler-like curvature
- Remarks on astheno-Kähler manifolds, Bott-Chern and Aeppli cohomology groups
- Non-K\"ahler Calabi-Yau manifolds
- On the existence of balanced and SKT metrics on nilmanifolds
- Abelian ideals of maximal dimension for solvable Lie algebras
- On Bismut flat manifolds
- Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology
- Lattices, cohomology and models of six dimensional almost abelian solvmanifolds
- Astheno–Kähler and Balanced Structures on Fibrations
- The long‐time behavior of the homogeneous pluriclosed flow
- On astheno-Kähler metrics
- Locally conformal SKT structures
- On cohomogeneity one Hermitian non-Kähler metrics
- On Strominger Kähler-like manifolds with degenerate torsion
- Complex structures on nilpotent Lie algebras
- Vanishing theorems on Hermitian manifolds
- Real semisimple Lie groups and balanced metrics
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