9 citations · 17 across the 5 of their papers we have counts for
6 papers
On the linear stability of expanding Ricci solitons
Michael Jablonski, Peter Petersen, Michael Bradford Williams
In previous work, the authors studied the linear stability of algebraic Ricci solitons on simply connected solvable Lie groups (solvsolitons), which are stationary solutions of a c…
Linear stability of algebraic Ricci solitons
Michael Jablonski, Peter Petersen, Michael Bradford Williams
We consider a modified Ricci flow equation whose stationary solutions include Einstein and Ricci soliton metrics, and we study the linear stability of those solutions relative to t…
Dynamical stability of algebraic Ricci solitons
Michael Bradford Williams, Haotian Wu
We consider dynamical stability for a modified Ricci flow equation whose stationary solutions include Einstein and Ricci soliton metrics. Our focus is on homogeneous metrics on non…
Stability of solutions of certain extended Ricci flow systems
Michael Bradford Williams
We consider four extended Ricci flow systems---that is, Ricci flow coupled with other geometric flows---and prove dynamical stability of certain classes of stationary solutions of…
Results on coupled Ricci and harmonic map flows
Michael Bradford Williams
We explore the harmonic-Ricci flow---that is, Ricci flow coupled with harmonic map flow---both as it arises naturally in certain principal bundle constructions related to Ricci flo…
Explicit Ricci solitons on nilpotent Lie groups
Michael Bradford Williams
We consider Ricci flow on two classes of nilpotent Lie groups that generalize the three-dimensional Heisenberg group: the higher-dimensional classical Heisenberg groups, and the gr…