Published Paper

Inserted: 1 dec 2024

Journal: Calculus of Variations and Partial Differential Equations
Volume: 60
Number: 218
Year: 2021
Doi: https://doi.org/10.1007/s00526-021-02077-4

Abstract:

We show that in analytic sub-Riemannian manifolds of rank 2 satisfying a commutativity condition spiral-like curves are not length minimizing near the center of the spiral. The proof relies upon the delicate construction of a competing curve.