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math.DG2023
Rigidity of min-max minimal disks in -balls with non-negative Ricci curvature
Laurent Mazet, Abraão Mendes
In this paper we prove a rigidity statement for free boundary minimal surfaces produced via min-max methods. More precisely, we prove that for any Riemannian metric on the 3-ba…
gr-qc2023★ 1 cited
Some rigidity results for compact initial data sets
Gregory J. Galloway, Abraão Mendes
In this paper, we prove several rigidity results for compact initial data sets, in both the boundary and no boundary cases. In particular, under natural energy, boundary, and topol…