A note on isoparametric polynomials
Analysis of PDEs
2014-08-12 v1 Differential Geometry
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-M\"unzner polynomial.
Keywords
Cite
@article{arxiv.1209.0155,
title = {A note on isoparametric polynomials},
author = {Vladimir G. Tkachev},
journal= {arXiv preprint arXiv:1209.0155},
year = {2014}
}
Comments
6 pages