4 papers
The Engel-Lutz twist and overtwisted Engel structures
Álvaro del Pino, Thomas Vogel
We introduce a modification procedure for Engel structures that is reminiscent of the Lutz twist in 3-dimensional Contact Topology. This notion allows us to define what an Engel ov…
Loose Engel structures
Roger Casals, Álvaro del Pino, Francisco Presas
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 impli…
Flexibility for tangent and transverse immersions in Engel manifolds
Alvaro del Pino, Francisco Presas
In this article we study immersions of the circle that are tangent to an Engel structure . We show that a full -principle does exist as soon as one excludes the clo…
The foliated Weinstein conjecture
Álvaro del Pino, Francisco Presas
A foliation is said to admit a foliated contact structure if there is a codimension 1 distribution in the tangent space of the foliation such that the restriction to any leaf is co…