Geodesic
Existence of Engel structures
Thomas Vogel1
1 Department of Mathematics<br/>Ludwig-Maximilians University<br/>80333 Munich<br/>Germany
Annals of mathematics, Tome 169 (2009) no. 1, pp. 79-137.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We develop a construction of Engel structures on $4$-manifolds based on decompositions of manifolds into round handles. This allows us to show that all parallelizable $4$-manifolds admit an Engel structure. We also show that, given two Engel manifolds $M_1,M_2$ satisfying a certain condition on the characteristic foliations, there is an Engel structure on $M_1\# M_2\# (S^2\times S^2)$ which is closely related to the original Engel structures.
DOI : 10.4007/annals.2009.169.79

Thomas Vogel 1

1 Department of Mathematics<br/>Ludwig-Maximilians University<br/>80333 Munich<br/>Germany 
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Thomas Vogel. Existence of Engel structures. Annals of mathematics, Tome 169 (2009) no. 1, pp. 79-137. doi : 10.4007/annals.2009.169.79. http://geodesic.mathdoc.fr/articles/10.4007/annals.2009.169.79/

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