RT Journal Article
T1 Ricci solitons on four-dimensional Lorentzian Lie groups
A1 Ferreiro Subrido, María
A1 García Río, Eduardo
A1 Vázquez Lorenzo, Ramón
K1 Ricci soliton
K1 Left-invariant Lorentz metric
K1 pp-wave
AB We determine all non-Einstein Ricci solitons on four-dimensional Lorentzian Lie groups whose soliton vector field is left-invariant. In addition to pp-wave and plane wave Lie groups, there are four families of Lorentzian metrics on semi-direct extensions R3⋊R and E(1,1)⋊R. We show that some of these Ricci solitons are conformally Einstein and they may be expanding, steady or shrinking
PB Springer
SN 1664-2368
YR 2022
FD 2022
LK http://hdl.handle.net/10347/29153
UL http://hdl.handle.net/10347/29153
LA eng
NO Analysis and Mathematical Physics (2022) 12:61. https://doi.org/10.1007/s13324-022-00669-7
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature
DS Minerva
RD 28 abr 2026