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math.DG2023
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.DG2022★ 4 cited
Filling minimality and Lipschitz-volume rigidity of convex bodies among integral current spaces
Giuliano Basso, Paul Creutz, Elefterios Soultanis
In this paper we consider metric fillings of convex bodies. We show that convex bodies are the unique minimal fillings of their boundary metrics among all i…