Work

Four-dimensional Lorentzian algebraic Ricci solitons

Year: 2026

Type: article

Abstract: We describe four-dimensional Lorentzian algebraic Ricci solitons. In sharp contrast with the Riemannian situation, any four-dimensional Lie group admits a left-invariant Lorentz metric which is a Ricci soliton.

Source: Proceedings of the Royal Society of Edinburgh Section A Mathematics

DOI: 10.1017/prm.2026.10142

Authors: Eduardo García-Río, Rosalía Rodríguez-Gigirey, Ramón Vázquez-Lorenzo

Institutions: Universidade de Santiago de Compostela, Physiopathologie et Régulation des Transports Ioniques

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: Xunta de Galicia, Agencia Estatal de Investigación

Awards: G1300792995, G1496055848, G549060987, G6400195254, G6645394148, G7757756225

OpenAlex ID: W7141182818

FWCI:

Cites: 33

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