6 citations · 7 across the 5 of their papers we have counts for
5 papers
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…
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…
Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks
Sisto Baldo, Van Phu Cuong Le, Annalisa Massaccesi +1
We investigate the relation between energy minimizing maps valued into spheres having topological singularities at given points and optimal networks connecting them (e.g. Steiner t…
On the geometric structure of currents tangent to smooth distributions
Giovanni Alberti, Annalisa Massaccesi, Eugene Stepanov
It is well known that a k-dimensional smooth surface in a Euclidean space cannot be tangent to a non-involutive distribution of k-dimensional planes. In this paper we discuss the e…
On some geometric properties of currents and Frobenius theorem
Giovanni Alberti, Annalisa Massaccesi
In this note we announce some results, due to appear in [2], [3], on the structure of integral and normal currents, and their relation to Frobenius theorem. In particular we show t…