Calculus of Variations and Geometric Measure Theory

L. Rizzi - M. Sigalotti - N. Tedesco

Branching of regular abnormal geodesics in sub-Riemannian manifolds of rank two

created by rizzi1 on 03 Aug 2026

[BibTeX]

preprint

Inserted: 3 aug 2026

Year: 2026

ArXiv: 2607.29315 PDF

Abstract:

We study branching of regular abnormal geodesics in sub-Riemannian manifolds of rank two. As an application, we provide examples of two new phenomena: continuous families of strictly abnormal branching geodesics, and geodesics with an accumulation of countably many branching points.