Author(s) :
An-Min Li,
Haizhong Li,
Udo Simon
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 729-2002
MSC 2000
- 53A15 Affine differential geometry
-
49Q05 Minimal surfaces
-
53C42 Immersions
Abstract :
C.P. Wang [21] studied the Euler-Lagrange equations for the
centroaffine area functional of hypersurfaces. We consider classes
of examples satisfying these equations together with completeness
conditions. We formulate appropriate centroaffine Bernstein problems
and give partial solutions.
Keywords :
centroaffine extremal hypersurfaces, centroaffine Bernstein problems, affine spheres