Differential Geometry of Curves and Surfaces in Lorentz-Minkowski space

Abstract

We review part of the classical theory of curves and surfaces in $3$-dimensional Lorentz-Minkowski space. We focus in spacelike surfaces with constant mean curvature pointing the differences and similarities with the Euclidean space.

arXiv commentNotes of a Mini-Course taught at Instituto de Matematica e Estatistica. University of Sao Paulo, Brazil. The version v2 is a complete revision of version v1