3 papers
math.DG2026
Stokes' theorem on positively graded groups
Valentino Magnani, Francesca Tripaldi
This paper studies the validity of Stokes' theorem for differential subcomplexes naturally adapted to the noncommutative geometry of positively graded Lie groups, with particular e…
math.MG2026
Area of intrinsic graphs in homogeneous groups
Francesca Corni, Valentino Magnani
We establish an area formula for the spherical measure of intrinsic graphs of any codimension in homogeneous groups. Our approach relies on the assumption that the map defining the…
math.MG2026
A minimal regularity for the area formula in the Engel group
Francesca Corni, Fares Essebei, Valentino Magnani
We prove that the upper blow-up theorem in the Engel group holds for submanifolds. Combining this result with the known negligibility of the singular set, we obtain an integr…