We establish an area formula for the spherical measure of intrinsically regular submanifolds of low codimension in Heisenberg groups. The spherical measure is constructed by an arbitrary homogeneous distance. Among the arguments of the proof, we point out the differentiability properties of intrinsic graphs and a chain rule for intrinsically differentiable functions.
Francesca Corni, Valentino Magnani (2023). Area formula for regular submanifolds of low codimension in Heisenberg groups. ADVANCES IN CALCULUS OF VARIATIONS, 16(3), 665-688 [10.1515/acv-2021-0049].
Area formula for regular submanifolds of low codimension in Heisenberg groups
Francesca Corni;
2023
Abstract
We establish an area formula for the spherical measure of intrinsically regular submanifolds of low codimension in Heisenberg groups. The spherical measure is constructed by an arbitrary homogeneous distance. Among the arguments of the proof, we point out the differentiability properties of intrinsic graphs and a chain rule for intrinsically differentiable functions.File in questo prodotto:
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