CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Homogeneous Ricci solitons in low dimensions
Autor/es:
ROMINA M. ARROYO; RAMIRO A. LAFUENTE
Revista:
INTERNATIONAL MATHEMATICS RESEARCH NOTICES
Editorial:
OXFORD UNIV PRESS
Referencias:
Año: 2015 vol. 2015 p. 4901 - 4932
ISSN:
1073-7928
Resumen:
In this article we classify expanding homogeneous Ricci solitons up to dimension 5, according to their presentation as homogeneous spaces. We obtain that they are all isometric to solvsolitons, and this in particular implies that the generalized Alekseevskii conjecture holds in these dimensions. In addition, we prove that the conjecture holds in dimension 6 provided the transitive group is not semisimple.
