On the geometrical properties of hypercomplex four-dimensional Lie groups

DOI10.1515/gmj-2018-0003zbMath1482.53069OpenAlexW2792728212WikidataQ115236352 ScholiaQ115236352MaRDI QIDQ1986061

Mansour Aghasi, Mehri Nasehi

Publication date: 7 April 2020

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2018-0003

zbMATH Keywords

Ricci solitonsYamabe solitonsconformal flatnessharmonicity of invariant vector fieldstotally geodesic hypersurfaces

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

On the geometrical properties of hypercomplex four-dimensional Lorentzian Lie groups

Cites Work

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• Totally geodesic and parallel hypersurfaces of four-dimensional oscillator groups
• Harmonicity of vector fields on four-dimensional generalized symmetric spaces
• Totally geodesic hypersurfaces of four-dimensional generalized symmetric spaces
• Harmonicity properties of invariant vector fields on three-dimensional Lorentzian Lie groups
• On the geometrical properties of solvable Lie groups
• Einstein-like manifolds which are not Einstein
• HKT and OKT geometries on soliton black hole moduli spaces
• Hyper-Kähler metrics conformal to left invariant metrics on four-dimensional Lie groups
• Three-dimensional homogeneous Lorentzian Yamabe solitons
• Almost contact metric manifolds whose Reeb vector field is a harmonic section
• A complete classification of Ricci and Yamabe solitons of non-reductive homogeneous 4-spaces
• Hypercomplex structures on four-dimensional Lie groups
• ON SOME HYPERCOMPLEX 4-DIMENSIONAL LIE GROUPS OF CONSTANT SCALAR CURVATURE
• Randers metrics of Berwald type on four-dimensional hypercomplex Lie groups