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math.DG2026
The mean curvature blows up at nondegenerate neck pinch singularities of Lagrangian mean curvature flow
Jason D. Lotay, Goncalo Oliveira
We prove that at any nondegenerate neck pinch singularity of Lagrangian mean curvature flow of surfaces the mean curvature becomes unbounded, with control on the blow-up rate.
math.DG2026
Eigenforms and special holonomy
Bobby Acharya, Lucía Cabrera, Simone Corbo +1
We prove existence and non-existence results for eigenforms for the Hodge Laplacian on complete non-compact Ricci flat manifolds with special holonomy, with a particular focu…