In this paper we deal with some problems concerning minimal hypersurfaces in Carnot-Caratheodory (CC) structures. More precisely we will introduce a general calibration method in this setting and we will study the Bernstein problem for entire regular intrinsic minimal graphs in a meaningful and simpler class of CC spaces, i.e. the Heisenberg group H-n. In particular we will positively answer to the Bernstein problem in the case n = 1 and we will provide counter examples when n >= 5.
The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations
Serra Cassano, Francesco;
2007-01-01
Abstract
In this paper we deal with some problems concerning minimal hypersurfaces in Carnot-Caratheodory (CC) structures. More precisely we will introduce a general calibration method in this setting and we will study the Bernstein problem for entire regular intrinsic minimal graphs in a meaningful and simpler class of CC spaces, i.e. the Heisenberg group H-n. In particular we will positively answer to the Bernstein problem in the case n = 1 and we will provide counter examples when n >= 5.File in questo prodotto:
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