Displaying similar documents to “Minimal surfaces in pseudohermitian geometry”

Minimal surfaces in sub-riemannian manifolds and structure of their singular sets in the ( 2 , 3 ) case

Nataliya Shcherbakova (2009)

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 horizontal area functional associated with the canonical horizontal area form. We derive the intrinsic equation in the general case and then consider in greater detail 2 -dimensional surfaces in contact manifolds of dimension 3 . We show that in this case minimal surfaces are projections of a special class of 2 -dimensional...