4 papers
Bounds to the mean curvature of leaves of CMC foliations
José Edson Sampaio, Euripedes Carvalho da Silva
The main goal of this present paper is to bring the results proved by Barbosa, Kenmotsu and Oshikiri (1991) and its ideas to a perspective where the Ricci curvature is bounded from…
On the Moser's Bernstein Theorem
José Edson Sampaio, Euripedes Carvalho da Silva
In this paper, we prove the following version of the famous Bernstein's theorem: Let be a closed and connected set with Hausdorff dimension . Assume t…
On flags of holomorphic foliations associated with singular second-order ordinary differential equations
Fernando Lourenço, Eurípedes da Silva, Fernando Reis
We consider germs of holomorphic vector fields at the origin of , with non-isolated singularities that are tangent to a holomorphic foliation of codimension one. This…
Topology of first integrals via Milnor fibrations II
Fernando Reis, Maico Ribeiro, Euripedes da Silva
This survey is the continuation of a series of works aimed at applying tools from Singularity Theory to Differential Equations. More precisely, we utilize the powerfull Milnor's Fi…