3 papers
math.DG2025
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…
math.MG2025
On the minimality of pancake decomposition of surface germs
Davi Lopes Medeiros, Euripedes Carvalho da Silva, Emanoel Souza
The abnormal surfaces called snakes and circular snakes, defined in \cite{GabrielovSouza}, are special types of surface germs capturing the outer Lipschitz phenomena relevant to th…
math.DG2024
Foliations transverse to a closed conformal vector field
Euripedes da Silva, Ãcaro Gonçalves, Júlio Pereira
In this article, we study the geometric properties of codimension one foliations on Riemannian manifolds equipped with vector fields that are closed and conformal. Apart from its s…