Orthogonal bi-invariant complex structures on metric Lie algebras

DOI10.1007/S10455-020-09746-1zbMath1465.53043arXiv2007.09040OpenAlexW3096292143MaRDI QIDQ2227509

Jonas Deré

Publication date: 15 February 2021

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09040

zbMATH Keywords

Lie groupscomplex structuresmetric Lie algebras

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Solvable, nilpotent (super)algebras (17B30)

Related Items (1)

On closed manifolds admitting an Anosov diffeomorphism but no expanding map

Cites Work

• Harmonic and Killing vector fields in compact orientable riemannian spaces with boundary
• Curvatures of left invariant metrics on Lie groups
• Conformal Killing-Yano 2-forms
• Complex geometry. An introduction
• Higher degree Killing forms on 2-step nilmanifolds
• The structure of underlying Lie algebras
• On quadratic first integrals of the geodesic equations for type [22 spacetimes]
• Automorphisms of real Lie algebras of dimension five or less
• Quasi-Kähler Chern-flat manifolds and complex 2-step nilpotent Lie algebras

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