Anti-Kählerian geometry on Lie groups

DOI10.1007/S11040-018-9266-4zbMath1395.53079arXiv1710.03884OpenAlexW3137203296WikidataQ115381802 ScholiaQ115381802MaRDI QIDQ1664416

Yamile Godoy, Edison Alberto Fernández-Culma

Publication date: 27 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.03884

zbMATH Keywords

Lie groupsanti-Kähler manifoldNorden metricsabelian complex structureanti-Hermitian geometryB-manifoldsbi-invariant complex structure

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Other complex differential geometry (53C56) Homogeneous complex manifolds (32M10) Groups as automorphisms of other structures (22F50)

Related Items (4)

Matrix Lie Groups as 3-Dimensional Almost Paracontact Almost Paracomplex Riemannian Manifolds ⋮ Some remarks concerning anti-Hermitian metrics ⋮ Structure-preserving connections on almost complex Norden golden manifolds ⋮ Lie groups as 3-dimensional almost paracontact almost paracomplex Riemannian manifolds

Cites Work

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• On the curvature of Kähler-Norden manifolds
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• Anti-Kählerian manifolds
• On certain locally homogeneous Clifford manifolds
• On the Bochner conformal curvature of Kähler-Norden manifolds
• SCHRÖDINGER–LICHNEROWICZ LIKE FORMULA ON KÄHLER–NORDEN MANIFOLDS
• On the geometry of the connection with totally skew-symmetric torsion on almost complex manifolds with Norden metric
• Classification of abelian complex structures on 6-dimensional Lie algebras
• Spinors on Kahler–Norden Manifolds
• Almost-complex and almost-product Einstein manifolds from a variational principle
• Corrigendum: Classification of abelian complex structures on six-dimensional Lie algebras
• Connection with parallel totally skew-symmetric torsion on almost complex manifolds with Norden metric
• Complex Parallisable Manifolds

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