4 papers · 1 filter
On smooth approximation of integral cycles mod 2
Gianmarco Caldini
We prove that every mod 2 integral cycle in a Riemannian manifold can be approximated in flat norm by a cycle which is a smooth submanifold of nearly the same…
Hausdorff measure bounds for density- flat singularities of minimizing integral currents
Gianmarco Caldini, Anna Skorobogatova
In this article we prove that the set of flat singular points of locally highest density of area-minimizing integral currents of dimension and general codimension in a smooth R…
Optimal smooth approximation of integral cycles
Fredrick Almgren, William Browder, Gianmarco Caldini +1
In this article we prove that each integral cycle in an oriented Riemannian manifold can be approximated in flat norm by an integral cycle in the same homology cl…
Well-posedness properties of geometric variational problems: existence, regularity and uniqueness results
Gianmarco Caldini
This thesis is devoted to the study of well-posedness properties of some geometric variational problems: existence, regularity and uniqueness of solutions. We study two specific pr…