Por favor, use este identificador para citas ou ligazóns a este ítem:
http://hdl.handle.net/10347/29282
Título: | Homogeneous and curvature homogeneous Lorentzian critical metrics
|
Autor/a: | Brozos Vázquez, Miguel
Caeiro Oliveira, Sandro
García Río, Eduardo
|
Centro/Departamento: | Universidade de Santiago de Compostela. Departamento de Matemáticas
|
Palabras chave: | Quadratic curvature functional | Lorentzian | Critical metric | Curvature homogeneus | Homogeneus | Ricci soliton | |
Data: | 2022
|
Editor: | Cambridge University Press
|
Cita bibliográfica: | Brozos-Vázquez, M., Caeiro-Oliveira, S., & García-Río, E. (2022). Homogeneous and curvature homogeneous Lorentzian critical metrics. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1-25. doi:10.1017/prm.2022.44
|
Resumo: | We determine all three-dimensional homogeneous and 1 -curvature homogeneous Lorentzian metrics which are critical for a quadratic curvature functional. As a result, we show that any quadratic curvature functional admits different non-Einstein homogeneous critical metrics and that there exist homogeneous metrics which are critical for all quadratic curvature functionals without being Einstein |
Versión do editor: | https://doi.org/10.1017/prm.2022.44 |
URI: | http://hdl.handle.net/10347/29282
|
DOI: | 10.1017/prm.2022.44 |
ISSN: | 0308-2105
|
E-ISSN: | 1473-7124
|
Dereitos: | © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited Atribución 4.0 Internacional
|