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arXiv · 2101.10940

Nonminimality of spirals in sub-Riemannian manifolds

Roberto Monti·Alessandro Socionovo
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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.

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Roberto Monti, Alessandro Socionovo. 2021-01-26. Nonminimality of spirals in sub-Riemannian manifolds. https://arxiv.org/abs/2101.10940

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