Minimal surfaces in sub-Riemannian manifolds and structure of their singular sets in the case
Nataliya Shcherbakova (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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We study minimal surfaces in sub-Riemannian manifolds with sub-Riemannian structures of co-rank one. These surfaces can be defined as the critical points of the so-called area functional associated with the canonical area form. We derive the intrinsic equation in the general case and then consider in greater detail -dimensional surfaces in contact manifolds of dimension . We show that in this case minimal surfaces are projections of a special class of -dimensional surfaces in the...