Harmonic Maps from ℝnto ℍmwith symmetry

Harmonic maps from R^n to H^m with symmetry

It is known that there is no nonconstant bounded harmonic map from the Euclidean space R to the hyperbolic space H. This is a particular case of a result of S.-Y. Cheng. However, there are many polynomial growth harmonic maps from R to H by the results of Z. Han, L.-F. Tam, A. Treibergs and T. Wan. One of the purposes of this paper is to construct harmonic maps from R to H by prescribing bounda...

Images of Harmonic Maps with Symmetry

We show that under certain symmetry, the images of complete harmonic embeddings from the complex plane into the hyperbolic plane is completely determined by the geometric information of the vertical measured foliation and is independent of the horizontal measured foliation of the corresponding Hopf differentials. In this paper, we find a new explicit relation between the image of harmonic embed...

Harmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry

© Foundation Compositio Mathematica, 1989, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier ...

Stable Exponentially Harmonic Maps Between Finsler Manifolds

Dirac-harmonic maps from index theory

We prove existence results for Dirac-harmonic maps using index theoretical tools. They are mainly interesting if the source manifold has dimension 1 or 2 modulo 8. Our solutions are uncoupled in the sense that the underlying map between the source and target manifolds