RT Journal Article
T1 Conformally Einstein Lorentzian Lie groups: the non-solvable case
A1 Calviño Louzao, Esteban
A1 García Río, Eduardo
A1 Gutiérrez Rodríguez, Ixchel Dzohara
A1 Vázquez Lorenzo, Ramón
K1 Conformally Einstein
K1 Bach tensor
K1 C-space
K1 Lie group
AB We describe all left-invariant Bach-flat Lorentz metrics on non-solvable four-dimensional Lie groups, showing that they are conformally Einstein if and only if they are locally conformally flat. As a consequence we show the existence of strictly Bach-flat left-invariant metrics on SU(2)xR  whose restriction to SU(2) may be positive definite, Lorentzian or degenerate.
PB Springer-Verlag
SN 0938-8974
YR 2025
FD 2025-07-07
LK https://hdl.handle.net/10347/42405
UL https://hdl.handle.net/10347/42405
LA eng
NO Calviño-Louzao, E., García-Río, E., Gutiérrez-Rodríguez, I. et al. Conformally Einstein Lorentzian Lie Groups: The Non-solvable Case. J Nonlinear Sci 35, 86 (2025). https://doi.org/10.1007/s00332-025-10183-2
NO Supported by Grants ED431F 2020/04, ED431C 2023/31 (Xunta de Galicia, Spain) and PID2021-127075NA-I00, PID2022-138988NB-I00 funded by MICIU/AEI/10.13039/501100011033 and by ERDF, EU.
DS Minerva
RD 24 abr 2026