Invariant strong KT geometry on four-dimensional solvable Lie groups

zbMath1242.53093arXiv0911.0535MaRDI QIDQ3076581

Thomas Bruun Madsen, Andrew F. Swann

Publication date: 23 February 2011

Full work available at URL: https://arxiv.org/abs/0911.0535

zbMATH Keywords

complex structureHermitian metricsolvable Lie groupKähler with torsionstrong KT geometry

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Homogeneous complex manifolds (32M10)

Related Items (15)

Bach-flat Lie groups in dimension 4 ⋮ Hermitian structures on a class of almost nilpotent solvmanifolds ⋮ SKT structures on nilmanifolds ⋮ Two-step solvable SKT shears ⋮ Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures ⋮ Polarisation of SKT Calabi-Yau ∂∂̄-manifolds by Aeppli classes ⋮ Special Hermitian metrics on Oeljeklaus–Toma manifolds ⋮ Locally conformal SKT almost abelian Lie algebras ⋮ Static SKT metrics on Lie groups ⋮ Almost Kähler structures on four dimensional unimodular Lie algebras ⋮ Group actions, non-Kähler complex manifolds and SKT structures ⋮ A construction of SKT manifolds using toric geometry ⋮ Special Hermitian metrics and Lie groups ⋮ The pluriclosed flow on nilmanifolds and tamed symplectic forms ⋮ Locally conformal SKT structures

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