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arXiv · 1202.4287

On Regularity of Abnormal Subriemannian Geodesics

Kanghai Tan·Xiaoping Yang
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Abstract

We prove the smoothness of abnormal minimizers of subriemannian manifolds of step 3 with a nilpotent basis. We prove that rank 2 Carnot groups of step 4 admit no strictly abnormal minimizers. For any subriemannian manifolds of step less than 7, we show all abnormal minimizers have no corner type singularities, which partly generalize the main result of Leonardi-Monti.

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Kanghai Tan, Xiaoping Yang. 2012-02-20. On Regularity of Abnormal Subriemannian Geodesics. https://arxiv.org/abs/1202.4287

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