Poisson structures on wrinkled fibrations
We provide local formulæ for Poisson bivectors and symplectic forms on the leaves of Poisson structures associated to wrinkled fibrations on smooth $4$--manifolds.
math.SG↗
arXiv subjects
J. Torres Orozco
Publications and source records attributed to J. Torres Orozco.
Poisson cohomology of singular fibrations in dimension 4
It is known that there exist singular Poisson structures in $4$-manifolds, whose symplectic foliation is given by singular fibrations over surfaces. In this work, we describe the effect of the monodromy of the fibration on the Poisson cohomology groups.
math.DG↗
An Iteration Method for Solving Elliptic Equations
In this paper we use a natural iteration technique to prove existence of solutions to nonlinear Dirichlet problems. Among the examples included is the prescribed mean curvature equation. The nature of the technique allows applications to unbounded domains, as we show with domains of the form $\mathbb{R}^{n-1}\times\left(-d/2,d/2\right)$.
math.AP↗