7 citations · 24 across the 5 of their papers we have counts for
8 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…
Existence h-principle for Engel structures
Roger Casals, Jose Luis Pérez, Álvaro del Pino +1
In this article we prove that the inclusion of the space of Engel structures of a smooth -fold into the space of full flags of its tangent bundle induces surjections in all homo…
Foliated vector fields without periodic orbits
Daniel Peralta-Salas, Alvaro del Pino, Francisco Presas
In this article parametric versions of Wilson's plug and Kuperberg's plug are discussed. We show that there is a weak homotopy equivalence induced by the inclusion between the spac…
The foliated Lefschetz hyperplane theorem
David Martínez Torres, Álvaro del Pino, Francisco Presas
A foliation is said to be --calibrated if it admits a closed 2-form making each leaf symplectic. By using approximately holomorphic techniques, a sequence…
H-principle for 4-dimensional contact foliations
Roger Casals, Alvaro del Pino, Francisco Presas
In this article we introduce the topological study of codimension-1 foliations which admit contact or symplectic structures on the leaves. A parametric existence h-principle for fo…