17 citations · 73 across the 17 of their papers we have counts for
4 papers · 1 filter
Min-max theory for capillary surfaces
Chao Li, Xin Zhou, Jonathan J. Zhu
We develop a min-max theory for the construction of capillary surfaces in 3-manifolds with smooth boundary. In particular, for a generic set of ambient metrics, we prove the existe…
Rigidity of spherical product Ricci solitons
Ao Sun, Jonathan J. Zhu
We show that is isolated as a shrinking Ricci soliton in the space of metrics, up to scaling and diffeomorphism. We also prove the same rigidity for ,…
On certain quantifications of Gromov's non-squeezing theorem
Kevin Sackel, Antoine Song, Umut Varolgunes +1
Let and let be the Euclidean -ball of radius with a closed subset removed. Suppose that embeds symplectically into the unit cylinder $\mathbb{D}^2 \times…
Łojasiewicz inequalities for mean convex self-shrinkers
Jonathan J. Zhu
We prove Łojasiewicz inequalities for round cylinders and cylinders over Abresch-Langer curves, using perturbative analysis of a quantity introduced by Colding-Minicozzi. A feature…