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- W2951664128 abstract "We construct a one-parameter family of properly embedded minimal annuli in the Heisenberg group Nil_3 endowed with a left-invariant Riemannian metric. These annuli are not rotationally invariant. This family gives a vertical half-space theorem and proves that each complete minimal graph in Nil_3 is entire. Also, the sister surface of an entire minimal graph in Nil_3 is an entire constant mean curvature 1/2 graph in H^2 x R, and conversely. This gives a classification of all entire constant mean curvature 1/2 graphs in H^2 x R. Finally we construct properly embedded constant mean curvature 1/2 annuli in H^2 x R." @default.
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- W2951664128 date "2007-07-05" @default.
- W2951664128 modified "2023-09-28" @default.
- W2951664128 title "Half-space theorem, embedded minimal annuli and minimal graphs in the Heisenberg group" @default.
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