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.

Area formula for regular submanifolds of low codimension in Heisenberg groups

Magnani V.
2023-01-01

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.
2023
Corni, F.; Magnani, V.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1216427
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