(1) Department of Mathematical Sciences, Tsinghua University, 100084 Beijing, P.R. China
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 meancurvature. We get some rigidity results for affine complete surfaces by using this sextic holomorphic form.Received: 17 May 2003