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Homogeneous Ricci solitons in low dimensions by Arroyo, Romina M.; Lafuente, Ramiro is a scholarly article available to read on EtoBox.

What is Homogeneous Ricci solitons in low dimensions about?

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.

Author

Arroyo, Romina M.; Lafuente, Ramiro

Published

2013

Language

EN