2 papers
math.DS2020
Inverse-Magnetic Billiards on a Square
Andres Perico
We consider a polygon in a two-dimensional plane with a homogeneous constant magnetic field orthogonal to such plane, but inside the polygon, the magnetic field is zero. We study t…
math.DS2018
Sard's conjecture for degenerate Engel
Andres Perico
Let D be a rank 2 bracket generating distribution on a 4 manifold, D is Engel if its growth vector is maximal. When this maximality fails the distribution is degenerate. We prove S…