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The classification of complete stable area-stationary surfaces in the Heisenberg group H 1

2009; Elsevier BV; Volume: 224; Issue: 2 Linguagem: Inglês

10.1016/j.aim.2009.12.002

1090-2082

Ana Hurtado, Manuel Ritoré, César Rosales,

Advanced Differential Geometry Research

We prove that any C2 complete, orientable, connected, stable area-stationary surface in the sub-Riemannian Heisenberg group H1 is either a Euclidean plane or congruent to the hyperbolic paraboloid t=xy.