ON SOME HYPERCOMPLEX 4-DIMENSIONAL LIE GROUPS OF CONSTANT SCALAR CURVATURE

DOI10.1142/S0219887809003710zbMath1178.53043arXiv1305.2859OpenAlexW2112877630WikidataQ57705996 ScholiaQ57705996MaRDI QIDQ3397548

Hamid Reza Salimi Moghaddam

Publication date: 22 September 2009

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2859

zbMATH Keywords

sectional curvatureLevi-Civita connectionleft invariant metrichypercomplex manifoldhyper-Hermitian metric

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Applications of global differential geometry to the sciences (53C80) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (4)

Non-Berwaldian Randers metrics of Douglas type on four-dimensional hypercomplex Lie groups ⋮ Lie Groups of Dimension Four and Almost Hypercomplex Manifolds with Hermitian–Norden Metrics ⋮ On the geometrical properties of hypercomplex four-dimensional Lie groups ⋮ ON THE RANDERS METRICS ON TWO-STEP HOMOGENEOUS NILMANIFOLDS OF DIMENSION FIVE

Cites Work

• Unnamed Item
• HKT and OKT geometries on soliton black hole moduli spaces
• Hyper-Kähler metrics conformal to left invariant metrics on four-dimensional Lie groups
• Hypercomplex structures on four-dimensional Lie groups

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