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arXiv · 2501.16234

New constructions of biharmonic polynomial maps between spheres

Rares Ambrosie
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Abstract

In this paper, we study diagonal maps between spheres given by two homogeneous polynomial maps between spheres, defined on the same domain sphere. First we find their bitension field, then we give a method for generating proper biharmonic maps between spheres, relying on harmonic homogeneous polynomial maps of different degrees. Further, we establish a result for constructing proper biharmonic product maps using harmonic homogeneous polynomial maps between spheres.

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Rares Ambrosie. 2025-01-27. New constructions of biharmonic polynomial maps between spheres. https://arxiv.org/abs/2501.16234

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