41 citations · 122 across the 16 of their papers we have counts for
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Infinitesimal maximal symmetry and Ricci soliton solvmanifolds
Carolyn Gordon, Michael Jablonski
This work addresses the questions: (i) Among all left-invariant Riemannian metrics on a given Lie group, is there any whose isometry group or isometry algebra contain that of all o…
Survey: Homogeneous Einstein Manifolds
Michael Jablonski
This survey builds on the two surveys by Wang and Lauret written almost a decade ago to give the current state of affairs regarding homogeneous Einstein spaces.
Einstein solvmanifolds as submanifolds of symmetric spaces
Michael Jablonski
Lying at the intersection of Ado's theorem and the Nash embedding theorem, we consider the problem of finding faithful representations of Lie groups which are simultaneously isomet…
Maximal Symmetry and Unimodular Solvmanifolds
Michael Jablonski
Recently, it was shown that Einstein solvmanifolds have maximal symmetry in the sense that their isometry groups contain the isometry groups of any other left-invariant metric on t…
Einstein solvmanifolds have maximal symmetry
Carolyn S. Gordon, Michael R. Jablonski
All known examples of homogeneous Einstein metrics of negative Ricci curvature can be realized as left-invariant Riemannian metrics on solvable Lie groups. After defining a notion…
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…