On gradient Yamabe solitons conformal to a pseudo-Euclidian space

DOI10.1016/j.geomphys.2017.07.020zbMath1379.35051OpenAlexW2744638956WikidataQ125912874 ScholiaQ125912874MaRDI QIDQ1685864

Keti Tenenblat, Benedito Leandro Neto

Publication date: 20 December 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.07.020

zbMATH Keywords

conformal metricsLorentzian metrics

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Self-similar solutions to PDEs (35C06)

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Cites Work

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• The classification of locally conformally flat Yamabe solitons
• On complete gradient shrinking Ricci solitons
• A note on compact gradient Yamabe solitons
• Some examples of incomplete space-times
• Three-dimensional Lorentzian homogeneous Ricci solitons
• Three-dimensional homogeneous Lorentzian Yamabe solitons
• On gradient Ricci solitons
• On Bach-flat gradient shrinking Ricci solitons
• On the structure of gradient Yamabe solitons
• On gradient Ricci solitons conformal to a pseudo-Euclidean space
• A note on compact CR Yamabe solitons
• Complete non-compact gradient Ricci solitons with nonnegative Ricci curvature
• What is a singularity in general relativity?
• Ricci solitons on Lorentzian manifolds with large isometry groups
• On locally conformally flat gradient steady Ricci solitons
• Lorentz Ricci solitons on 3-dimensional Lie groups

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