Beitr\"age zur Algebra und Geometrie
Contributions to Algebra and Geometry
Volume 35 (1994), No. 1, 109-117.

Centroaffinely Homogeneous Surfaces in \RRR      

Huili Liu, Changping Wang

Abstract.

A nondegenerate centroaffine surface in $\R^3$ is called homogeneous, if for 
any two points $p$ and $q$ on the surface there exists a centroaffine 
transformation in $\R^3$ which takes the surface to itself and takes $p$ to $q$. 
In this paper all centroaffinely
homogeneous surfaces in $\R^3$ are determined 
up to centroaffine transformations.

MSC 1991: 53 A 15