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 on 10 Jan 2012


Published Paper

Inserted: 27 sep 2010
Last Updated: 10 jan 2012

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


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.