The fundamental theorems of curves and hypersurfaces in centro-affine geometry

Robert B. Gardner, George R. Wilkens
1997 Bulletin of the Belgian Mathematical Society Simon Stevin  
The motivation of this paper is to find formulations of the local rigidity theorems for centro-affine curves and hypersurfaces that are amenable to direct application to problems in control theory.Élie Cartan's method of moving frames develops the solutions in a natural way. The case of centro-affine curves has previously appeared only for certain low dimensions. This is the first time a theory for curves in arbitrary dimensions has appeared. 1991 Mathematics Subject Classification. 53A15.
doi:10.36045/bbms/1105733254 fatcat:l62jn4rg4bfuxlskrobjbhqitm