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arXiv:math/0209065 [math.DG]AbstractReferencesReviewsResources

The Bernstein Problem in the Heisenberg Group

Nicola Garofalo, Scott D. Pauls

Published 2002-09-06, updated 2005-05-13Version 2

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.

Comments: 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
Categories: math.DG, math.AP
Subjects: 53C17, 53A10, 49Q20, 35J70
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