3 papers
math.DG2026
Special Lagrangian submanifolds and circle collapse on K3
Sébastien Picard, Federico Trinca
We consider surfaces collapsing to a three-dimensional affine base. We show that certain affine lines on the base lift to degenerating sequences of special Lagrangian two-sphe…
math.DG2024
Unstable minimal spheres with degree-1 Gauss lift in hyperkähler 4-manifolds
Lorenzo Foscolo, Federico Trinca
We exhibit new minimal 2-spheres in hyperkähler 4-manifolds arising from the Gibbons--Hawking ansatz and in the K3 manifold endowed with a hyperkähler metric. These minimal surface…
math.DG2024
On the stability of free boundary minimal submanifolds in conformal domains
Alcides de Carvalho, Roney Santos, Federico Trinca
Given a -dimensional Riemannian manifold with non-negative sectional curvatures and convex boundary, that is conformal to an Euclidean convex bounded domain, we show that it doe…