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math.AP2012★ 7 cited
A Jordan algebra approach to the cubic eiconal equation
Vladimir G. Tkachev
We establish a natural correspondence between (the equivalence classes of) cubic solutions of an eiconal type equation and (the isomorphy classes of) cubic Jordan algebras.
math.AP2012★ 2 cited
A note on isoparametric polynomials
Vladimir G. Tkachev
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 compositi…