Calculus of Variations and Geometric Measure Theory
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F. Corni - V. Magnani

Area formula for regular submanifolds of low codimension in Heisenberg groups

created by magnani on 05 Feb 2020
modified on 24 Feb 2020

[BibTeX]

Submitted Paper

Inserted: 5 feb 2020
Last Updated: 24 feb 2020

Year: 2020
Links: arXiv:2002.01433

Abstract:

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 to an arbitrary homogeneous distance. Among the arguments of the proof, we point out the differentiability properties of intrinsic graphs and a chain rule for intrinsic differentiable functions.


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