Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1
Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1
In the first Heisenberg group H 1 with its sub-Riemannian structure generated by the horizontal subbundle, we single out a class of C 2 non-characteristic entire intrinsic graphs which we call strict graphical strips.We prove that such strict graphical strips have vanishing horizontal mean curvature (i.e., they are H-minimal) and …