The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons

DOI10.1017/S0308210517000464zbMath1411.53036arXiv1403.4400OpenAlexW2964022043WikidataQ58380604 ScholiaQ58380604MaRDI QIDQ4646309

S. Gavino-Fernández, Eduardo García-Río, Miguel Brozos-Vázquez, Peter B. Gilkey

Publication date: 11 January 2019

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.4400

zbMATH Keywords

Killing vector fieldgradient Ricci solitonharmonic Weyl tensorWalker manifoldlocally homogeneous Lorentzian manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (6)

Local conformal instability and local non-collapsing in the Ricci flow of quantum spacetime ⋮ Corrigendum to: ``Three-dimensional Lorentzian homogeneous Ricci solitons ⋮ Solutions of the Ricci soliton equation for a large class of Siklos spacetimes ⋮ Euler-Lagrange formulas for pseudo-Kähler manifolds ⋮ Siklos spacetimes as homogeneous Ricci solitons ⋮ The Ricci soliton equation for homogeneous Siklos spacetimes

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