Dressing orbits of harmonic maps

Dressing Orbits of Super-horizontal Holomorphic Maps

By studying dressing orbits a complete account is given of the (full) super-horizontal holomorphic maps of nite type from the 2-plane into a full ag manifold. It is shown that precisely one dressing orbit contains all 2-spheres of nite type. From this follows a simple description of all harmonic 2-spheres in CP n of nite type.

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Homoclinic orbits of invertible maps

In this paper, we present a systematic method for finding all homoclinic orbits of invertible maps in any finite dimension. One advantage of this method is that it can also be used to order and classify all the homoclinic orbits, using symbolic dynamics, if a certain criterion is satisfied. We also present a more direct scheme, which quickly locates homoclinic orbits without, however, being abl...

stable exponentially harmonic maps between finsler manifolds

Harmonic Maps and Biharmonic Maps

This is a survey on harmonic maps and biharmonic maps into (1) Riemannian manifolds of non-positive curvature, (2) compact Lie groups or (3) compact symmetric spaces, based mainly on my recent works on these topics.