Journal Article On the Bernstein Problem in the Three-dimensional Heisenberg Group

Dorfmeister, Josef F.  ,  Inoguchi, Jun-ichi  ,  Kobayashi, Shimpei

59 ( 1 )  , pp.50 - 61 , 2016-03 , Canadian Mathematicla Society
In this note we present a simple alternative proof for the Bernstein problem in the threedimensional Heisenberg group Nil(3) by using the loop group technique. We clarify the geometric meaning of the two-parameter ambiguity of entire minimal graphs with prescribed AbreschRosenberg differential.

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