Generalized Kähler almost abelian Lie groups

DOI10.1007/s10231-020-01059-1zbMath1482.53107arXiv2008.00458OpenAlexW3126428022WikidataQ115385008 ScholiaQ115385008MaRDI QIDQ2035971

Anna Fino, Fabio Paradiso

Publication date: 2 July 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00458

zbMATH Keywords

Hermitian metricsgeneralized Kähler structuresholomorphic Poisson structuresalmost abelian Lie groups

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) Generalized geometries (à la Hitchin) (53D18)

Related Items (12)

Hermitian structures on a class of almost nilpotent solvmanifolds ⋮ Two-step solvable SKT shears ⋮ The structure of almost Abelian Lie algebras ⋮ Balanced Hermitian structures on almost abelian Lie algebras ⋮ Hypercomplex almost abelian solvmanifolds ⋮ Pluriclosed and Strominger Kähler–like metrics compatible with abelian complex structures ⋮ Hermitian geometry of Lie algebras with abelian ideals of codimension 2 ⋮ Locally conformal SKT almost abelian Lie algebras ⋮ Almost abelian Lie groups, subgroups and quotients ⋮ An integral condition involving \(\overline{\partial}\)-harmonic \((0,1)\)-forms ⋮ Locally conformally balanced metrics on almost abelian Lie algebras ⋮ Locally conformal SKT structures

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