3 papers
math.DG2024
Finsler currents
Giuliano Basso
We propose a slight variant of Ambrosio and Kirchheim's definition of a metric current. We show that with this new definition it is possible to obtain certain volume functionals fr…
math.MG2024
Lipschitz extension theorems with explicit constants
Giuliano Basso
In this mostly expository article, we give streamlined proofs of several well-known Lipschitz extension theorems. We pay special attention to obtaining statements with explicit exp…
math.CA2024
Integral representation of functions on the circle
Giuliano Basso
We give a complete characterization of all real-valued functions on the unit circle that can be represented by integrating the spherical distance on with respect to a s…