Inhalt des Dokuments
Preprint 581-1998
Local Classification of Centroaffine Tchebychev Surfaces with Constant Curvature Metric
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Author(s) :
Thomas Binder
The paper is published :
MSC 2000
- 53A15 Affine differential geometry
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 surfaces
Notes :
Appeared in: Geometry and Topology of Submanifolds; Volume IX; World Scientific (Singapore), 27-32.
