5 papers
Linear stability and instability of Kähler Ricci solitons
Keaton Naff, Tristan Ozuch
We show that the recently discovered BCCD shrinking soliton is linearly unstable, by extending the approach of \cite{chi04} and \cite{hm11}, via recent work the \cite{cm21} on grad…
Linear stability of the blowdown Ricci shrinker in 4D
Keaton Naff, Tristan Ozuch
We prove that the four-dimensional blowdown shrinking Ricci soliton constructed by Feldman-Ilmanen-Knopf is strictly linearly stable in the sense of Cao-Hamilton-Ilmanen. This prov…
Ricci Flow on ALF manifolds
Dain Kim, Tristan Ozuch
We prove that on ALF -manifolds with the Ricci flow preserves the ALF structure, and develop a weighted Fredholm framework adapted to ALF manifolds. Motivated by Perelm…
Orbifold singularity formation along ancient and immortal Ricci flows
Alix Deruelle, Tristan Ozuch
In stark contrast to lower dimensions, we produce a plethora of ancient and immortal Ricci flows in real dimension with Einstein orbifolds as tangent flows at infinity. For ins…
Ancient and expanding spin ALE Ricci flows
Isaac M. Lopez, Tristan Ozuch
We classify spin ALE ancient Ricci flows and spin ALE expanding solitons with suitable groups at infinity. In particular, the only spin ancient Ricci flows with groups at infinity…