A family of triharmonic maps to spheres in all dimensions greater than two
Abstract
We present a construction method for triharmonic maps to spheres. In particular, we show that for any m∈N with m≥ 3 there exists a triharmonic map from Rm\0\ into a round sphere. In addition, we provide a construction method for proper r-harmonic maps between spheres based on a suitable deformation of eigenmaps.
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