On algebraic solitons for geometric evolution equations on three-dimensional Lie groupsT. H. Wears
The relationship between algebraic soliton metrics and self-similar solutions of geometric evolution equations on Lie groups is investigated.
After
discussing the general relationship between algebraic soliton metrics and self-similar solutions to geometric evolution equations, we investigate
the cross curvature flow and the second order renormalization group flow on simply-connected, three-dimensional, unimodular Lie groups, providing
a complete classification of left invariant algebraic solitons that give rise to self-similar solutions of the corresponding flows
on such spaces.
Tbilisi Mathematical Journal, Vol. 9(2) (2016), pp. 33-58 |