Loose Engel structures

A. del Pino Gomez; Roger Casals; Francisco Presas

doi:10.1112/S0010437X19007759

Loose Engel structures

A. del Pino Gomez, Roger Casals, Francisco Presas

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

This paper contributes to the study of Engel structures and their classification. The main result 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 auxiliary data is fixed. As a corollary, we show that Lorentz and orientable Cartan prolongations are classified up to homotopy by their formal data.

Original language	Undefined/Unknown
Number of pages	23
Journal	Compositio Mathematica
Volume	156
Issue number	2
DOIs	https://doi.org/10.1112/S0010437X19007759
Publication status	Published - Feb 2020

Keywords

Engel structures
h-principle
flexibility

Access to Document

10.1112/S0010437X19007759

CPP_LooseEngelCompositioAccepted author manuscript, 1.03 MB

Cite this

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KW - flexibility

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