41 citations · 122 across the 16 of their papers we have counts for
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math.DG2013★ 3 cited
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…
math.DG2013★ 41 cited
Homogeneous Ricci Solitons are Algebraic
Michael Jablonski
In this short note, we show that homogeneous Ricci solitons are algebraic. As an application, we see that the generalized Alekseevskii conjecture is equivalent to the Alekseevskii…
math.DG2013★ 18 cited
Strongly solvable spaces
Michael Jablonski
This work builds on the foundation laid by Gordon and Wilson in the study of isometry groups of solvmanifolds, i.e. Riemannian manifolds admitting a transitive solvable group of is…