Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures

DOI10.1007/s00229-017-0938-3zbMath1387.22012arXiv1611.02089OpenAlexW2554616549WikidataQ115388325 ScholiaQ115388325MaRDI QIDQ1702671

Marcos Origlia, Adrián Andrada

Publication date: 28 February 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.02089

zbMATH Keywords

latticelocally conformal Kähler metricalmost abelian Lie grouplocally conformal symplectic structure

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (20)

Hermitian structures on a class of almost nilpotent solvmanifolds ⋮ Bismut connection on Vaisman manifolds ⋮ The structure of almost Abelian Lie algebras ⋮ Balanced Hermitian structures on almost abelian Lie algebras ⋮ Hypercomplex almost abelian solvmanifolds ⋮ Complex symplectic Lie algebras with large abelian subalgebras ⋮ Locally conformally Kähler solvmanifolds: a survey ⋮ Some properties of almost abelian Lie algebras ⋮ 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 conformally symplectic and Kähler geometry ⋮ Locally conformally Kähler structures on four-dimensional solvable Lie algebras ⋮ Locally conformally balanced metrics on almost abelian Lie algebras ⋮ On a certain class of locally conformal symplectic structures of the second kind ⋮ Locally conformal symplectic structures on Lie algebras of type I and their solvmanifolds ⋮ Locally conformal SKT structures ⋮ Integrable LCK manifolds

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