Geometry of Centroaffine Surfaces in R

[摘要] We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in $\mathbb{R}^5 \setminus \{0\}$ with nondegenerate centroaffine metric. We then give a complete classification of all homogeneous centroaffine surfaces in this class.

[关键词] centroaf fine geometry;Cartan’s method of moving frames