Palestras e Seminários
07/08/2026
14:00
Sala 3-011
Palestrante: Aires Eduardo M. Barbieri
https://sites.google.com/icmc.usp.br/seminariosgeometria/
Responsável: Daniel Gomes Fadel (daniel.fadel@icmc.usp.br)
Seminário de Geometria e Topologia de São Carlos
Resumo/Abstract: An oriented surface in $\mathbb{R}^3$ is a Weingarten surface if its principal curvatures $\kappa_1 \geq \kappa_2$ satisfy a nontrivial relation $W(\kappa_1,\kappa_2)=0$. It is elliptic when the PDE governing its local graph is elliptic, in which case we can locally write $\kappa_2 = f(\kappa_1)$ with $f$ strictly decreasing. Minimal surfaces and CMC surfaces, which give rise to quasilinear PDEs, are classical examples. Therefore, studying elliptic Weingarten surfaces gives a natural generalization to the fully nonlinear setting. In this talk, we review key results on complete elliptic Weingarten surfaces in $\mathbb{R}^3$ and present recent joint work with José A. Gálvez, Yuanyuan Lian, and Kai Zhang, on the asymptotic behavior at infinity of uniformly elliptic Weingarten surfaces of minimal type and finite total curvature. We classify this behavior depending strongly on the value $f'(0)$ and establish a maximum principle at infinity.
mais informações:
site do evento: sites.google.com/icmc.usp.br/seminariosgeometria/
