1 citations · 1 across the 8 of their papers we have counts for
9 papers
Engel CR submanifolds of
Eduardo Fernández, Álvaro del Pino, Wei Zhou
We give a sufficient condition for an -bundle over a -manifold to admit an immersion (or embedding) into so that its complex tangencies define an En…
-algebroids and the variety of foliation jets
Francis Bischoff, Álvaro del Pino, Aldo Witte
We introduce and classify singular foliations of -type, which formalize the properties of vector fields that are tangent to a submanifold to order . When…
Jiggling: an h-principle without homotopical assumptions
Anna Fokma, Álvaro del Pino, Lauran Toussaint
The jiggling lemma of Thurston shows that any triangulation can be jiggled (read: subdivided and then perturbed) to be in general position with respect to a distribution. Our main…
Jets of foliations and -algebroids
Francis Bischoff, Álvaro del Pino, Aldo Witte
In this article, we introduce and study singular foliations of -type. These singular foliations formalize the properties of vector fields that are tangent to order along a…
Wrinkling and Haefliger structures
Anna Fokma, Álvaro del Pino, Lauran Toussaint
Wrinkling techniques, introduced by Eliashberg and Mishachev, are typically used to prove h-principles of the form: ``formal solutions of a partial differential relation $\mathcal{…
Classification of tangent and transverse knots in bracket-generating distributions
Javier Martínez-Aguinaga, Álvaro del Pino
Consider a manifold, of dimension greater than 3, equipped with a bracket-generating distribution. In this article we prove complete h-principles for embedded regular horizontal cu…
Wrinkling h-principles for integral submanifolds of jet spaces
Álvaro del Pino, Lauran Toussaint
Y. Eliashberg and N. Mishachev introduced the notion of wrinkled embedding to show that any tangential homotopy can be approximated by a homotopy of topological embeddings with mil…
Introducing sub-Riemannian and sub-Finsler Billiards
Lucas Dahinden, Álvaro del Pino
We define billiards in the context of sub-Finsler Geometry. We provide symplectic and variational (or rather, control theoretical) descriptions of the problem and show that they co…
On the classification of prolongations up to Engel homotopy
Álvaro del Pino
In [CPPP] it was shown that Engel structures satisfy an existence -principle, and the question of whether a full -principle holds was left open. In this note we address the c…