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arXiv · 1109.6523

Subelliptic biharmonic maps

Sorin Dragomir·Stefano Montaldo
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Abstract

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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Sorin Dragomir, Stefano Montaldo. 2011-09-29. Subelliptic biharmonic maps. https://arxiv.org/abs/1109.6523

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