Tbilisi Mathematical Journal
- Tbilisi Math. J.
- Volume 9, Issue 2 (2016), 33-58.
On algebraic solitons for geometric evolution equations on three-dimensional Lie groups
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 Math. J., Volume 9, Issue 2 (2016), 33-58.
Received: 13 October 2015
Accepted: 30 July 2016
First available in Project Euclid: 12 June 2018
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Wears, Thomas H. On algebraic solitons for geometric evolution equations on three-dimensional Lie groups. Tbilisi Math. J. 9 (2016), no. 2, 33--58. doi:10.1515/tmj-2016-0018. https://projecteuclid.org/euclid.tbilisi/1528769066