Stable Complete Embedded Minimal Surfaces in H1 with Empty Characteristic Locus Are Vertical Planes
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چکیده
In the recent paper [12] we have proved that the only stable C minimal surfaces in the first Heisenberg group Hn which are graphs over some plane and have empty characteristic locus must be vertical planes. This result represents a sub-Riemannian version of the celebrated theorem of Bernstein. In this paper we extend the result in [12] to C complete embedded minimal surfaces in H with empty characteristic locus. We prove that every such a surface without boundary must be a vertical plane.
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تاریخ انتشار 2009