Sard's conjecture for degenerate Engel

Andres Perico

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arXiv · 1805.03424

Sard's conjecture for degenerate Engel

Andres Perico

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Abstract

Let D be a rank 2 bracket generating distribution on a 4 manifold, D is Engel if its growth vector is maximal. When this maximality fails the distribution is degenerate. We prove Sard's conjecture for the endpoint map in the case of degenerate Engel distributions. In this case the set of singular horizontal curves starting from the same point has measure zero: a full 2 dimensional disk.

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Andres Perico. 2018-05-09. Sard's conjecture for degenerate Engel. https://arxiv.org/abs/1805.03424

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