4 papers
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…
Free boundary and capillary minimal surfaces in spherical caps II: Low energy
Jonathan J. Zhu
This is the second of two articles in which we investigate the geometry of free boundary and capillary minimal surfaces in balls . In this article, we find…
Uniqueness of blowups for forced mean curvature flow
Sven Hirsch, Jonathan J. Zhu
We prove uniqueness of tangent cones for forced mean curvature flow, at both closed self-shrinkers and round cylindrical self-shrinkers, in any codimension. The corresponding resul…
Sharp distance comparison for curve shortening flow on the round sphere
Paul Bryan, Mat Langford, Jonathan J. Zhu
We prove that curve shortening flow on the round sphere displays sharp chord-arc improvement, precisely as in the planar setting (Andrews and Bryan, Comm. Anal. Geom., 2011). As in…