1 citations · 1 across the 6 of their papers we have counts for
7 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…
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…
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…