Quasi-Kähler Chern-flat manifolds and complex 2-step nilpotent Lie algebras

DOI10.2422/2036-2145.201006_008zbMath1252.53038arXiv0911.5655OpenAlexW2964090984MaRDI QIDQ2883319

Luigi Vezzoni, Antonio Jose Di Scala, Jorge Lauret

Publication date: 11 May 2012

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.5655

zbMATH Keywords

quasi-Kähler manifold2-step nilpotent Lie algebraanti-bi-invariant almost complex Lie algebraChern-flat manifoldcomplex parallelisable manifold

Mathematics Subject Classification ID

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

Related Items (9)

Classification of K -forms in nilpotent Lie algebras associated to graphs ⋮ Hermitian curvature flow on unimodular Lie groups and static invariant metrics ⋮ Note on solutions of the Strominger system from unitary representations of cocompact lattices of \(\mathrm{SL}(2,\mathbb C)\) ⋮ Higher-dimensional Osserman metrics with non-nilpotent Jacobi operators ⋮ Orthogonal bi-invariant complex structures on metric Lie algebras ⋮ Big vector bundles and complex manifolds with semi-positive tangent bundles ⋮ A note on canonical Ricci forms on $2$-step nilmanifolds ⋮ The structure of underlying Lie algebras ⋮ Killing-Yano 2-forms on 2-step nilpotent Lie groups

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