Minimality in CR geometry and the CR Yamabe problem on CR manifolds with boundary

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

We study the minimality of an isometric immersion of a Riemannian manifold
into a strictly pseudoconvex CR manifold endowed with the Webster metric hence
formulate a version of the CR Yamabe problem for CR manifolds-with-boundary.
This is shown to be a nonlinear subelliptic problem of variational origin.

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