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Some topics of Geometric Analysis and Geometric Measure Theory

Some extensions of the Frobenius theorem Part II

speaker: Annalisa Massaccesi (Università di Verona)

abstract: One implication of the Frobenius theorem states that there is no \(k\)-dimensional surface tangent to a non-involutive distribution of \(k\)-planes in \({\mathbb R}^n\). In this joint works with G. Alberti, A. Merlo and E. Stepanov, we explore some extensions of this result to contact sets and to currents. In particular, we wish to enlighten the trade between the regularity of the surface and the behaviour of the boundary of the contact set.

Tue 16 Apr, 16:30 - 17:00, Aula Dini
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