Balanced Hermitian structures on almost abelian Lie algebras

DOI10.1016/j.jpaa.2022.107186zbMath1504.53042arXiv2011.09992OpenAlexW3105314440WikidataQ115345284 ScholiaQ115345284MaRDI QIDQ2674534

Fabio Paradiso, Anna Fino

Publication date: 14 September 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09992

zbMATH Keywords

solvmanifoldsHermitian metricsbalanced metricsalmost abelian Lie algebrasanomaly flow

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Structure theory for Lie algebras and superalgebras (17B05) Calabi-Yau theory (complex-analytic aspects) (32Q25) Lie algebras of Lie groups (22E60) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Compact Kähler manifolds: generalizations, classification (32J27)

Related Items (7)

Hypercomplex almost abelian solvmanifolds ⋮ Hermitian geometry of Lie algebras with abelian ideals of codimension 2 ⋮ Harmonic \(\operatorname{G}_2\)-structures on almost abelian Lie groups ⋮ Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds ⋮ Locally conformal SKT almost abelian Lie algebras ⋮ Almost abelian Lie groups, subgroups and quotients ⋮ Locally conformal SKT structures

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