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math.MG2020
A reverse coarea-type inequality in Carnot groups
Francesca Corni
We prove a coarea-type inequality for a continuously Pansu differentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level set…
math.MG2020
Area formula for regular submanifolds of low codimension in Heisenberg groups
Francesca Corni, Valentino Magnani
We establish an area formula for the spherical measure of intrinsically regular submanifolds of low codimension in Heisenberg groups. The spherical measure is computed with respect…