The Ricci condition for warped metrics

Início: 08/11/2024 17:00

Término: 08/11/2024 18:00

Palestrante: Roney Santos (USP)

E-mail do Palestrante: roney13@gmail.com

Resumo: We would like to introduce and discuss the recent concept of a Ricci surface. There are abstract surfaces that, under a natural curvature restriction, admits local minimal embedding in the three-dimensional Euclidean space as a minimal surface, which means that Ricci surfaces offer an "intrinsic" way to see minimal surfaces of $mathbb{R}^3$. Our goal is to present the classification of Ricci surfaces endowed with a warped metric, and apply it to the study of rotational and ruled Ricci surfaces immersed in $mathbb{R}^3$. This talk is based on works joint with Alcides de Carvalho, Iury Domingos and Feliciano Vitório.