%0 Journal Article
%T Asymptotic Nets and Discrete Affine Surfaces with Indefinite Metric
%A Marcos Craizer
%J Mathematics
%D 2008
%I arXiv
%X Asymptotic net is an important concept in discrete differential geometry. In this paper, we show that we can associate affine discrete geometric concepts to an arbitrary non-degenerate asymptotic net. These concepts include discrete affine area, mean curvature, normal and co-normal vector fields and cubic form, and they are related by structural and compatibility equations. We consider also the particular cases of affine minimal surfaces and affine spheres.
%U http://arxiv.org/abs/0805.2060v1