Polyharmonic maps into the Euclidean space
Differential Geometry
2013-08-06 v2
Abstract
We study polyharmonic (k-harmonic) maps between Riemannian manifolds with finite j-energies (j=1, cdots, 2k-2). We show if the domain is complete and the target is the Euclidean space, then such a map is harmonic.
Cite
@article{arxiv.1307.5089,
title = {Polyharmonic maps into the Euclidean space},
author = {Nobumitsu Nakauchi and Hajime Urakawa},
journal= {arXiv preprint arXiv:1307.5089},
year = {2013}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:1201.6457