9 citations · 54 across the 26 of their papers we have counts for
4 papers · 2 filters
Existence of minimal hypersurfaces with arbitrarily large area and possible obstructions
James Stevens, Ao Sun
We prove that in a closed Riemannian manifold with dimension between and , either there are minimal hypersurfaces with arbitrarily large area, or there exist uncountably man…
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 ,…
Generic Dynamics of Mean Curvature Flows with Asymptotically Conical Singularities
Ao Sun, Jinxin Xue
This is the second paper in the series to study the generic dynamics of mean curvature flows. We study the initial perturbation of mean curvature flows, whose first singularity is…
Initial Perturbation of the Mean Curvature Flow for closed limit shrinker
Ao Sun, Jinxin Xue
This is a contribution to the program of dynamical approach to mean curvature flow initiated by Colding and Minicozzi. In this paper, we prove two main theorems. The first one is l…