CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Solitones de Ricci homogeneos en dimensiones bajas
Autor/es:
ROMINA M. ARROYO; RAMIRO A. LAFUENTE
Lugar:
Rosario, Santa Fe
Reunión:
Congreso; Comunicaciones Cientificas de la Reunion Anual de la Union Matematica Argentina; 2013
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.