Biharmonic maps into compact Lie groups and the integrable systems
Differential Geometry
2012-02-01 v2 Analysis of PDEs
Abstract
The reduction of biharmonic maps equation in terms of the Maurer-Cartan form for all smooth map of any compact Riemannian manifolds into a compact Lie group with bi-invariant Riemannian metric is obtained. By this formula, all the biharmonic curves into a compact Lie group and all biharmonic maps from a 2-dimensional open domain into a compact Lie group are characterized.
Keywords
Cite
@article{arxiv.0910.0692,
title = {Biharmonic maps into compact Lie groups and the integrable systems},
author = {Hajime Urakawa},
journal= {arXiv preprint arXiv:0910.0692},
year = {2012}
}