Subelliptic biharmonic maps

Details Subelliptic biharmonic maps Subelliptic biharmonic maps

2011-09-29

arxiv.org/abs/1109.6523v1

Mathematics

Differential Geometry

23 pages

Scientific paper

We study subelliptic biharmonic maps, i.e. smooth maps from a compact strictly pseudoconvex CR manifold M into a Riemannian manifold N which are critical points of a certain bienergy functional. We show that a map is subelliptic biharmonic if and only if its vertical lift to the (total space of the) canonical circle bundle is a biharmonic map with respect to the Fefferman metric.

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