Existence h-principle for Engel structures

R. Casals; J.L. Pérez; Á. del Pino; F. Presas

doi:10.1007/s00222-017-0732-6

Existence h-principle for Engel structures

R. Casals
, J.L. Pérez
, Á. del Pino
, F. Presas

Instituto de Ciencias Matemáticas, Madrid

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

Abstract

In this article we prove that the inclusion of the space of Engel structures of a smooth 4-manifold into the space of full flags of its tangent bundle induces surjections in all homotopy groups. In particular, we construct Engel structures representing any given full flag.

Original language	English
Pages (from-to)	417–451
Journal	Inventiones Mathematicae
Volume	210
DOIs	https://doi.org/10.1007/s00222-017-0732-6
Publication status	Published - Nov 2017
Externally published	Yes

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Final Manuscript - h-Principle for Engel structuresAccepted author manuscript, 1.61 MB

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title = "Existence h-principle for Engel structures",

abstract = "In this article we prove that the inclusion of the space of Engel structures of a smooth 4-manifold into the space of full flags of its tangent bundle induces surjections in all homotopy groups. In particular, we construct Engel structures representing any given full flag.",

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AU - Pérez, J.L.

AU - del Pino, Á.

AU - Presas, F.

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Y1 - 2017/11

N2 - In this article we prove that the inclusion of the space of Engel structures of a smooth 4-manifold into the space of full flags of its tangent bundle induces surjections in all homotopy groups. In particular, we construct Engel structures representing any given full flag.

AB - In this article we prove that the inclusion of the space of Engel structures of a smooth 4-manifold into the space of full flags of its tangent bundle induces surjections in all homotopy groups. In particular, we construct Engel structures representing any given full flag.

UR - https://www.scopus.com/pages/publications/85019254812

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DO - 10.1007/s00222-017-0732-6

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SN - 0020-9910

VL - 210

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EP - 451

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

ER -

Existence h-principle for Engel structures

Abstract

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