New constructions of biharmonic polynomial maps between spheres
Differential Geometry
2025-04-15 v2
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.
Keywords
Cite
@article{arxiv.2501.16234,
title = {New constructions of biharmonic polynomial maps between spheres},
author = {Rares Ambrosie},
journal= {arXiv preprint arXiv:2501.16234},
year = {2025}
}