Conformal Geometry of Semi-Direct Extensions of the Heisenberg Group

DOI10.15407/mag17.04.407zbMath1498.53075OpenAlexW4200456129MaRDI QIDQ5087688

Amirhesam Zaeim, Giovanni Calvaruso

Publication date: 1 July 2022

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15407/mag17.04.407

zbMATH Keywords

Heisenberg groupBach-flat metricsoscillator groupsemi-direct extensionsconformally Einstein metrics

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20) Conformal structures on manifolds (53C18)

Related Items (2)

Critical metrics for quadratic curvature functionals on some solvmanifolds ⋮ On conformal geometry of four-dimensional generalized symmetric spaces

Cites Work

• Unnamed Item
• Oscillator spacetimes are Ricci solitons
• Conformal Einstein spaces
• Analysis of second order differential operators on Heisenberg groups. I
• Homogeneous Lorentzian structures on the oscillator groups
• On semi-direct extensions of the Heisenberg group
• On the symmetries of the Lorentzian oscillator group
• The representations of the oscillator group
• Reductive decompositions and Einstein–Yang–Mills equations associated to the oscillator group
• Critical metrics for all quadratic curvature functionals
• Conformal geometry of non‐reductive four‐dimensional homogeneous spaces
• Critical Metrics for Riemannian Curvature Functionals

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