Oscillator spacetimes are Ricci solitons

DOI10.1016/j.na.2016.03.008zbMath1338.53096OpenAlexW2340492536MaRDI QIDQ276735

Giovanni Calvaruso

Publication date: 4 May 2016

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2016.03.008

zbMATH Keywords

oscillator groupRicci solitonsYamabe solitons

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (12)

A Ricci soliton characterization of pure radiation metrics conformal to a vacuum space-time ⋮ The Ricci soliton equation and the structure of homogeneous Gödel-type spacetimes ⋮ On the symmetries of the Lorentzian oscillator group ⋮ Conformal Geometry of Semi-Direct Extensions of the Heisenberg Group ⋮ Critical metrics for quadratic curvature functionals on some solvmanifolds ⋮ On conformal geometry of four-dimensional generalized symmetric spaces ⋮ Solutions of the Ricci soliton equation for a large class of Siklos spacetimes ⋮ On semi-direct extensions of the Heisenberg group ⋮ Ricci solitons on low-dimensional generalized symmetric spaces ⋮ Siklos spacetimes as homogeneous Ricci solitons ⋮ Flat left-invariant pseudo-Riemannian metrics on quadratic Lie groups ⋮ The Ricci soliton equation for homogeneous Siklos spacetimes

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