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math.DG2023
Morse theory for the Allen-Cahn functional
Jingwen Chen, Pedro Gaspar
In this article, we use Morse-theoretic techniques to construct connections between low energy critical submanifolds of the Allen-Cahn energy functional in the 3-sphere via the neg…
math.DG2023
Symmetric mean curvature flow on the n-sphere
Jingwen Chen
In this article, we generalize our previous results joint with Pedro Gaspar to higher dimensions, prove the existence of (infinitely many) eternal weak mean curvature flows in $S^{…