Geometry of Centroaffine Surfaces in $\mathbb{R}^5$
Differential Geometry
2015-01-07 v2
Abstract
We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.
Keywords
Cite
@article{arxiv.1408.4088,
title = {Geometry of Centroaffine Surfaces in $\mathbb{R}^5$},
author = {Nathaniel Bushek and Jeanne N. Clelland},
journal= {arXiv preprint arXiv:1408.4088},
year = {2015}
}