Explicit Ricci Solitons on Nilpotent Lie Groups.

The primary purpose of this paper is to obtain explicit, coordinate-based descriptions of Ricci flow solutions-especially those corresponding to Ricci solitons-on two classes of nilpotent Lie groups. On the odd-dimensional classical Heisenberg groups, we determine the asymptotics of Ricci flow starting at any metric, and use Lott's blowdown method to demonstrate convergence to soliton metrics. On the groups of real unitriangular matrices, which are more complicated, we describe the solitons and corresponding solutions using a suitable ansatz. [ABSTRACT FROM AUTHOR]