Calculus of Variations and Geometric Measure Theory

N. Evseev

Brownian path preserving mappings on the Heisenberg group

created by evseev on 06 Dec 2023

[BibTeX]

preprint

Inserted: 6 dec 2023

Year: 2022

ArXiv: 2211.02258 PDF

Abstract:

We study continuous mappings on the Heisenberg group that up to a time change preserve horizontal Brownian motion. It is proved that only harmonic morphisms possess this property.