5 papers
A Divisor Parametrization for the ErdÅs--Straus Conjecture
M. Bello-Hernández, M. Benito, E. Fernández
We study representations of \(1/n\) as a sum of three unit fractions whose denominators are all divisible by a prescribed integer \(m\). After scaling, this is equivalent to repres…
The h-principle fails for prelegendrians in corank 2 fat distributions
Eduardo Fernández, Ãlvaro del Pino, Wei Zhou
We investigate the -principle problem for fat distributions. These are maximally non-integrable distributions with natural symplectisations and contactisations, that generalize…
Asymptotics and zero behaviour of geometric polynomials
M. Bello-Hernández, M. Benito, Ã. Ciaurri +1
We obtain some results on the asymptotic behaviour of Geometric polynomials in both the complex plane minus and the interval . We also find the distance of consecu…
Engel CR submanifolds of
Eduardo Fernández, Ãlvaro 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…
Grasper families of spheres in and barbell diffeomorphisms of
Eduardo Fernández, David T. Gay, Daniel Hartman +1
We show that the fundamental group of framed circles in injects into the fundamental group of framed spheres in , so that the cokernel is the fundam…