3 papers
math.AP2026
Stability of the ball in isoperimetric inequalities between two fractional perimeters
G. Alberti, G. Cozzi, A. Massaccesi +1
We consider the isoperimetric inequality involving the -perimeter and the -perimeter with , and show that the ball is a local minimizer of the (scale-invariant) isop…
math.DG2025
Frobenius theorem and fine structure of tangency sets to non-involutive distributions
Giovanni Alberti, Annalisa Massaccesi, Andrea Merlo
In this paper we provide a complete answer to the question whether Frobenius' Theorem can be generalized to surfaces below the threshold. We study the fine structure of t…
math.DG2025
Tangency sets of non-involutive distributions and unrectifiability in Carnot-Carathéodory spaces
Giovanni Alberti, Annalisa Massaccesi, Andrea Merlo
In this paper, we establish refined versions of the Frobenius Theorem for non-involutive distributions and use these refinements to prove an unrectifiability result for Carnot-Cara…