The Bernstein Problem in the Heisenberg Group
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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.
62 pages, 9 figures. The first version of this paper contained a serious error. The current version is a complete reworking of the techniques and results
62 pages, 9 figures. The first version of this paper contained a serious error. The current version is a complete reworking of the techniques and results