Abstract :
We examine the centroaffine geometry of Tchebychev surfaces.
By choosing local parameters adapted to the problem, it is
possible to understand the integrability conditions.
We introduce regular and singular surfaces and prove an
existence theorem for regular ones.
We will show that there are no Tchebychev surfaces with
nonzero constant curvature metric, thus
reducing the problem to $K=0$, which has already been solved.
Keywords :Centroaffine geometry, Tchebychev surfacesNotes :
Appeared in: Geometry and Topology of Submanifolds; Volume IX; World Scientific (Singapore), 27-32.