2 citations · 2 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
On manifolds with cohomogeneity two symmetry
Benjamin Aslan, Federico Trinca
We consider manifolds with a cohomogeneity two symmetry group. We give a local characterization of these manifolds and we describe the geo…
On the stability of minimal submanifolds in conformal spheres
Giada Franz, Federico Trinca
Given an -dimensional Riemannian sphere conformal to the round one and -pinched, we show that it does not contain any closed stable minimal submanifold of dimension $2\le k\l…
Cayley fibrations in the Bryant-Salamon manifold
Federico Trinca
On each complete asymptotically conical manifold constructed by Bryant and Salamon, including the asymptotic cones, we consider a natural family of actions preser…
Barrier methods for minimal submanifolds in the Gibbons-Hawking ansatz
Federico Trinca
We describe a barrier argument for compact minimal submanifolds in the multi-Eguchi-Hanson and in the multi-Taub-NUT spaces, which are hyperkaehler 4-manifolds given by the Gibbons…