Seminario Geometría – Eraldo Lima

Event Details

Título: Uniqueness of complete maximal surfaces in a Lorentzian product $-\mathbb{R}\times M$
Impartido por Eraldo A. Lima JR, Departamento de Matemática, Universidade Federal do Ceará (Fortaleza, Brasil)

ABSTRACT: We will present several results for maximal surfaces in a Lorentzian product manifold $-\mathbb{R}\times M$. The main purpose is to characterize the slices as complete maximal surfaces satisfying a comparison between the growth of length of the gradient of the height function and norm of the shape operator and additional bound assumptions. Several Calabi-Bernstein results are also shown. Finally, examples of maximal surfaces in $-\mathbb{R}\times M$ are explained to emphasize the necessity of the assumptions.