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arXiv · 2607.29315

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

Luca Rizzi·Mario Sigalotti·Nicolò Tedesco
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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.

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Luca Rizzi, Mario Sigalotti, Nicolò Tedesco. 2026-07-31. Branching of regular abnormal geodesics in sub-Riemannian manifolds of rank two. https://arxiv.org/abs/2607.29315

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