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arXiv · 1209.0155

A note on isoparametric polynomials

Vladimir G. Tkachev
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Abstract

We show that any homogeneous polynomial solution of |\nabla F(x)|^2=m^2|x|^(2m-2), m>1, is either a radially symmetric polynomial F(x)=\pm |x|^m (for even m's) or it is a composition of a Chebychev polynomial and a Cartan-Münzner polynomial.

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Vladimir G. Tkachev. 2012-09-02. A note on isoparametric polynomials. https://doi.org/10.1007/s13324-014-0067-z

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