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arXiv · 1212.3479

Intrinsic complements of equiregular sub-Riemannian manifolds

Robert K. Hladky
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Abstract

Under a nondegeneracy condition, we show that an equiregular sub-Riemannian manifold of step size $r$ admits a canonical, $V$-rigid complement defined from the sub-Riemannian data that is preserved the by action of sub-Riemannian isometries. We explore how the existence of such a complement relates to results from the literature and study the step size 2 case in more detail.

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Robert K. Hladky. 2012-12-14. Intrinsic complements of equiregular sub-Riemannian manifolds. https://arxiv.org/abs/1212.3479

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