Biharmonic maps into compact Lie groups and the integrable systems

Details Biharmonic maps into compact Lie groups and the integrable systems Biharmonic maps into compact Lie groups and the integrable systems

2009-10-05

arxiv.org/abs/0910.0692v2

Mathematics

Differential Geometry

Scientific paper

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.

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