Subelliptic biharmonic maps
Differential Geometry
2011-09-30 v1
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.
Keywords
Cite
@article{arxiv.1109.6523,
title = {Subelliptic biharmonic maps},
author = {Sorin Dragomir and Stefano Montaldo},
journal= {arXiv preprint arXiv:1109.6523},
year = {2011}
}
Comments
23 pages