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math.DG2026
Mean curvature flows with cylindrical singularities II: stability and genericity
Ao Sun, Jinxin Xue
In [SX25], we introduced the notion of nondegenerate cylindrical singularity using the ideas from dynamical systems. In this paper, we further study the properties of these singula…
math.DG2026
Rigidity and non-rigidity of the stable norm on
Fernando C. Marques, André Neves, Ao Sun
We show that the stable norm of flat metrics on is locally rigid if and locally rigid among metrics of the same volume if . We also sho…