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Preprint 729-2002

Centroaffine Bernstein Problems

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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

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