5 citations · 12 across the 9 of their papers we have counts for
9 papers
Geometric Properties and Spectral Estimates on Warped Products
Josué Meléndez, Eduardo Rodríguez-Romero, Jonatán Torres Orozco
We establish an integral inequality for the Ricci curvature of a certain class of warped products , where the equality holds if and only if it is simply a Riemannian pr…
Poisson structures on wrinkled fibrations
P. Suárez-Serrato, J. Torres Orozco
We provide local formulæ for Poisson bivectors and symplectic forms on the leaves of Poisson structures associated to wrinkled fibrations on smooth --manifolds.
Equivariant solutions to the optimal partition problem for the prescribed Q-curvature equation
Juan Carlos Fernández, Oscar Palmas, Jonatán Torres Orozco
We study the optimal partition problem for the prescribed constant -curvature equation induced by the higher order conformal operators under the effect of cohomogeneity one acti…
Poisson cohomology of singular fibrations in dimension 4
N. Bárcenas, J. Torres Orozco
It is known that there exist singular Poisson structures in -manifolds, whose symplectic foliation is given by singular fibrations over surfaces. In this work, we describe the e…
An Iteration Method for Solving Elliptic Equations
J. C. Cortissoz, J. Torres Orozco
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 equ…
The Yamabe equation in small convex domains in and small balls in
Jean Carlos Cortissoz, Jonatán Torres Orozco
We show an iterative method to solve a Dirichlet problem for a Yamabe-type equation in small convex domains in and small balls in .
On Bott-Morse Foliations and their Poisson Structures in Dimension 3
Miguel Evangelista-Alvarado, Pablo Suárez-Serrato, Jonatán Torres Orozco +1
We show that a Bott-Morse foliation in dimension 3 admits a linear, singular, Poisson structure of rank 2 with Bott-Morse singularities. We provide the Poisson bivectors for each t…
Invariant Solutions of the Yamabe equation on the Koiso-Cao Soliton
Jonatán Torres Orozco
We consider the non-trivial Ricci soliton on constructed by Koiso and Cao. It is a Kähler metric invariant by the action on $\mathb…
Poisson and near-symplectic structures on generalized wrinkled fibrations in dimension 6
Pablo Suárez-Serrato, Jonatán Torres Orozco, Ramón Vera
We show that generalized broken fibrations in arbitrary dimensions admit rank-2 Poisson structures compatible with the fibration structure. After extending the notion of wrinkled f…