Constructs equivariant one-parameter deformations of S^n (n≥3) admitting Zoll families of minimal spheres, plus first non-linear Zoll metrics on RP^n, via equivariant Nash-Moser-Hamilton IFT.
C., and Neves, A.,Rigidity theorems for the area widths of Riemannian manifolds,arXiv:2408.14375 [math.DG] (2024)
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Existence of index-one minimal hypersurfaces with unbounded volume in enlargeable manifolds (dims 3-7) plus 3D scalar curvature rigidity under area-nonincreasing maps.
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Equivariant constructions of spheres with Zoll families of minimal spheres
Constructs equivariant one-parameter deformations of S^n (n≥3) admitting Zoll families of minimal spheres, plus first non-linear Zoll metrics on RP^n, via equivariant Nash-Moser-Hamilton IFT.
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Closed minimal surfaces of index one in Riemannian manifolds
Existence of index-one minimal hypersurfaces with unbounded volume in enlargeable manifolds (dims 3-7) plus 3D scalar curvature rigidity under area-nonincreasing maps.