16 citations · 18 across the 14 of their papers we have counts for
4 papers · 1 filter
Free boundary and capillary minimal surfaces in spherical caps I: Low genus
Keaton Naff, Jonathan J. Zhu
This is the first of two articles in which we investigate the geometry of free boundary and capillary minimal surfaces in balls . In this article, we extend…
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…
Planarity and convexity for pinched ancient solutions of mean curvature flow
Tang-Kai Lee, Keaton Naff, Jingze Zhu
We prove a parabolically scale-invariant variation of the planarity estimate in \cite{Na22} for higher codimension mean curvature flow, borrowing ideas from work of Brendle--Huiske…