On Ricci Soliton metrics conformally equivalent to left invariant metrics

Hamid Reza Salimi Moghaddam

Published 2014-01-03, updated 2016-10-06Version 2

In this paper we study the geometry of Riemannian metrics conformally equivalent to invariant metrics on Lie groups. We give the sectional curvature and Ricci tensor of such metrics in terms of structure constants of the Lie algebra. As an application, by using such metrics, we give many explicit examples of shrinking, steady and expanding Ricci solitons.