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## A Sextic Holomorphic Form of Affine Surfaces With Constant Affine Mean Curvature

 Source file is available as : Postscript Document

Author(s) : Haizhong Li

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 744-2002

MSC 2000

53C42 Immersions
53A15 Affine differential geometry

Abstract :
We extend an original idea of Calabi for affine maximal surfaces and define a sextic holomorphic differential form for affine surfaces with constant affine mean curvature. We get some rigidity results for affine complete surfaces by using this sextic holomorphic form.

Keywords : affine maximal surface, constant affine mean curvature, sextic holomorphic form