most citedArea of intrinsic graphs in homogeneous groups

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math.MG2026★ 3 cited

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…