Riccardo Caniato

collaborators

3 papers

math.DG2026

Genus, Morse Index, and Area of Minimal Surfaces in Three-Manifolds

Riccardo Caniato

We prove that, in every closed Riemannian three-manifold $(M^{3}, g ˉ)$ , there exists a constant $C > 0$ such that every closed smoothly embedded minimal surface $Σ \subset M$ satisfi…

math.DG2026

High-Dimensional Families of Minimal Surfaces of Arbitrary Genus in Round Spheres

Riccardo Caniato

We prove the existence of arbitrarily high-dimensional families of minimal surfaces of any prescribed genus and conformal structure in even-dimensional round spheres. More precisel…

math.DG2025

Area Rigidity for the Regular Representation of Surface Groups

Riccardo Caniato, Xingzhe Li, Antoine Song

Let $Σ ~$ be the universal cover of a closed surface $Σ$ of genus at least $2$ . We characterize all equivariantly area-minimizing maps from $Σ ~$ to a Hilbert sphere, which…