On Regularity of Abnormal Subriemannian Geodesics

Details On Regularity of Abnormal Subriemannian Geodesics On Regularity of Abnormal Subriemannian Geodesics

2012-02-20

arxiv.org/abs/1202.4287v1

Mathematics

Differential Geometry

33 pages. Preprint

Scientific paper

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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