Locally conformal SKT structures

DOI10.1142/S0129167X22500926OpenAlexW3202612466MaRDI QIDQ5871080

Bachir Djebbar, Ana Cristina Ferreira, Nourhane Zineb Larbi Youcef, Anna Fino

Publication date: 25 January 2023

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

Full work available at URL: https://arxiv.org/abs/2110.03280

zbMATH Keywords

nilpotent Lie algebrasHermitian metricsalmost abelian Lie algebraslocally conformal SKT metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (2)

Hermitian geometry of Lie algebras with abelian ideals of codimension 2 ⋮ Locally conformal SKT almost abelian Lie algebras

Cites Work

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• Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics
• On low-dimensional solvmanifolds
• Locally conformal Hermitian metrics on complex non-Kähler manifolds
• Generalized Kähler geometry
• Tamed symplectic forms and strong Kähler with torsion metrics
• Hermitian structures on six-dimensional nilmanifolds
• La 1-forme de torsion d'une variété hermitienne compacte
• On locally conformal almost Kaehler manifolds
• Curvatures of left invariant metrics on Lie groups
• Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures
• Properties of manifolds with skew-symmetric torsion and special holonomy
• Families of strong KT structures in six dimensions
• Cohomological properties of unimodular six dimensional solvable Lie algebras
• Generalized Kähler almost abelian Lie groups
• Locally conformally balanced metrics on almost abelian Lie algebras
• The Chern-Ricci flow
• Hermitian structures on a class of almost nilpotent solvmanifolds
• SKT structures on nilmanifolds
• A correction to: ``Tamed symplectic forms and strong Kähler with torsion metrics
• On the symplectic curvature flow for locally homogeneous manifolds
• Two-step solvable SKT shears
• Balanced Hermitian structures on almost abelian Lie algebras
• HyperKähler torsion structures invariant by nilpotent Lie groups
• Invariant strong KT geometry on four-dimensional solvable Lie groups
• On the Chern-Ricci flow and its solitons for Lie groups
• Six-Dimensional Solvmanifolds with Holomorphically Trivial Canonical Bundle
• Further remarks on the geometry of two-dimensional non-linear σ-models
• On Locally and Globally Conformal Kahler Manifolds
• Compact nilmanifolds with nilpotent complex structures: Dolbeault cohomology
• Lattices, cohomology and models of six dimensional almost abelian solvmanifolds
• The long‐time behavior of the homogeneous pluriclosed flow
• Complex structures on nilpotent Lie algebras
• Vanishing theorems on Hermitian manifolds

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