Calculus of Variations and Geometric Measure Theory

G. P. Leonardi - V. Magnani

Intersections of intrinsic submanifolds in the Heisenberg group

created by magnani on 27 Sep 2010
modified by leonardi on 31 Jan 2024


Published Paper

Inserted: 27 sep 2010
Last Updated: 31 jan 2024

Journal: J. Math. Anal. Appl.
Volume: 378
Number: 1
Pages: 98–108
Year: 2011

ArXiv: 1009.5302 PDF


In the first Heisenberg group, we show that the intersection of two intrinsic submanifolds with linearly independent horizontal normals locally coincides with the image of an injective continuous curve. The key tool is a chain rule that relies on a recent result by Dafermos.