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arXiv · 1712.09283

Loose Engel structures

Roger Casals·Álvaro del Pino·Francisco Presas
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Abstract

This article introduces the notion of a loose family of Engel structures and shows that two such families are Engel homotopic if and only if they are formally homotopic. This implies a complete h-principle when some auxiliary data is fixed. As a corollary, we show that Lorentz and orientable Cartan prolongations are classified up to homotopy by their formal data.

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Roger Casals, Álvaro del Pino, Francisco Presas. 2017-12-26. Loose Engel structures. https://doi.org/10.1112/s0010437x19007759

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