3 papers
math.DG2024
Riemannian Geometry of -type Real Flag Manifolds
Brian Grajales, Gabriel Rondón, Julieth Saavedra
In this paper, we investigate homogeneous Riemannian geometry on real flag manifolds of the split real form of . We characterize the metrics that are invariant unde…
math.DS2023
On the number of limit cycles for piecewise polynomial holomorphic systems
Armengol Gasull, Gabriel Rondón, Paulo R. da Silva
In this paper we are concerned with determining lower bounds of the number of limit cycles for piecewise polynomial holomorphic systems with a straight line of discontinuity. We ap…
math.DS2023
Global centers of a class of cubic polynomial differential systems
Jaume Llibre, Gabriel Rondón
A difficult classical problem in the qualitative theory of differential systems in the plane is the center-focus problem, i.e. to distinguish between a focus and a c…