Four-dimensional Lorentzian algebraic Ricci solitons

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.

Authors

Institutions

Publication Details

Journal
Proceedings of the Royal Society of Edinburgh Section A Mathematics
Published
2026-03-27
DOI
https://doi.org/10.1017/prm.2026.10142
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Four-dimensional Lorentzian algebraic Ricci solitons

Eduardo Garcia-Rio, Ramón Vázquez-Lorenzo, Rosalía Rodríguez-Gigirey
Proceedings of the Royal Society of Edinburgh Section A Mathematics
Geometric Analysis and Curvature Flows
article

Four-dimensional Lorentzian algebraic Ricci solitons

Eduardo Garcia-Rio, Ramón Vázquez-Lorenzo, Rosalía Rodríguez-Gigirey
article en

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.

Proceedings of the Royal Society of Edinburgh Section A Mathematics
Universidade de Santiago de Compostela (ES), Acıbadem University (TR), Hospital El Bierzo (ES)
Reduced inequalities
Openalex Percentile: Top 4%
Geometric Analysis and Curvature Flows
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.