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Centroaffine Bernstein Problems

Li, An-Min; Li, Haizhong; Simon, Udo

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

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.