The Bernstein Problem in the Heisenberg Group

Details The Bernstein Problem in the Heisenberg Group The Bernstein Problem in the Heisenberg Group

2002-09-06

arxiv.org/abs/math/0209065v2

Mathematics

Differential Geometry

62 pages, 9 figures. The first version of this paper contained a serious error. The current version is a complete reworking of

Scientific paper

We establish the following theorem of Bernstein type for the first Heisenberg
group: Let S be a C^2 connected H-minimal surface which is a graph over some
plane P, then S is either a non-characteristic vertical plane, or its
generalized seed curve satisfies a type of constant curvature condition.

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