We study subelliptic biharmonic maps, i.e., smooth maps I center dot:M -> N from a compact strictly pseudoconvex CR manifold M into a Riemannian manifold N which are critical points of the energy functional . We show that I center dot:M -> N is a subelliptic biharmonic map if and only if its vertical lift I center dot a similar to pi:C(M)-> N to the (total space of the) canonical circle bundle is a biharmonic map with respect to the Fefferman metric F (theta) on C(M).
Subelliptic biharmonic maps
MONTALDO, STEFANO
2014-01-01
Abstract
We study subelliptic biharmonic maps, i.e., smooth maps I center dot:M -> N from a compact strictly pseudoconvex CR manifold M into a Riemannian manifold N which are critical points of the energy functional . We show that I center dot:M -> N is a subelliptic biharmonic map if and only if its vertical lift I center dot a similar to pi:C(M)-> N to the (total space of the) canonical circle bundle is a biharmonic map with respect to the Fefferman metric F (theta) on C(M).
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