A characterization of hyperbolic affine flat, affine minimal surfaces in $\mathbb{A}^3$
Differential Geometry
2013-08-02 v1
Abstract
We investigate the geometric properties of hyperbolic affine flat, affine minimal surfaces in the equiaffine space . We use Cartan's method of moving frames to compute a complete set of local invariants for such surfaces. Using these invariants, we give a complete local classification of such surfaces and construct new examples.
Keywords
Cite
@article{arxiv.1308.0288,
title = {A characterization of hyperbolic affine flat, affine minimal surfaces in $\mathbb{A}^3$},
author = {Jeanne N. Clelland and Jonah M. Miller},
journal= {arXiv preprint arXiv:1308.0288},
year = {2013}
}
Comments
15 pages