A note on Ricci solitons

DOI10.1134/S0001434609090193zbMath1182.53062MaRDI QIDQ1048592

V. N. Shelepova, Sergey E. Stepanov

Publication date: 12 January 2010

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

zbMATH Keywords

Riemannian manifoldcurvatureself-similar solutionRicci flowEinstein metricRicci solitoninfinitesimal harmonic transformationconformally Killing vector field

Mathematics Subject Classification ID

Soliton equations (35Q51)

Related Items (20)

Generalized quasi-Einstein metrics and applications on generalized Robertson–Walker spacetimes ⋮ From harmonic mappings to Ricci flows due to the Bochner technique ⋮ Geodesic Ricci solitons on unit tangent sphere bundles ⋮ \(H\)-contact semi-Riemannian manifolds ⋮ New characteristics of infinitesimal isometry and Ricci solitons ⋮ Ricci solitons in three-dimensional paracontact geometry ⋮ Closed pseudo-Riemannian Ricci solitons ⋮ Solutions of the Ricci soliton equation for a large class of Siklos spacetimes ⋮ One-harmonic invariant vector fields on three-dimensional Lie groups ⋮ Back to Almost Ricci Solitons ⋮ On evolution equations under the Hamilton's Ricci flow ⋮ Infinitesimal harmonic transformations and Ricci solitons on complete Riemannian manifolds ⋮ Harmonic transforms of complete Riemannian manifolds ⋮ The Berger-Ebin theorem and harmonic maps and flows ⋮ Contact semi-Riemannian structures in CR geometry: some aspects ⋮ \(m\)-quasi-Einstein metrics satisfying certain conditions on the potential vector field ⋮ Bochner-Kähler and Bach flat manifolds ⋮ Certain infinitesimal transformations on contact metric manifolds ⋮ The Ricci soliton equation for homogeneous Siklos spacetimes ⋮ On Bach almost solitons

Cites Work

• Geometry of infinitesimal harmonic transformations
• Geometry of Ricci solitons
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