Affiliation:
1. 124 Canterbury Lane, Lansdale, PA 19446, USA
Abstract
A theorem of Bernstein type is established saying that a complete affinely harmonic graph in R4 is affinely equivalent to {(x,y,xy,y2 - x2)|(x,y)∈ R2}. The structures of flat affinely harmonic surfaces are determined.
Publisher
World Scientific Pub Co Pte Lt
Cited by
1 articles.
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1. Surfaces in ⁴ with constant affine Gauss maps;Proceedings of the American Mathematical Society;1995