A Jordan algebra approach to the cubic eiconal equation

Abstract

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.

14 pages

References in corpus (5)

• Black Holes, Qubits and Octonions
• Isoparametric and Dupin Hypersurfaces
• Quadro-quadric cremona transformations in low dimensions via the JC-correspondence
• A generalization of Cartan's theorem on isoparametric cubics
• Extremal varieties 3-rationally connected by cubics, quadro-quadric Cremona transformations and rank 3 Jordan algebras

Cited by in corpus (3)

• Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form
• New explicit solutions to the $p$-Laplace equation based on isoparametric foliations
• New construction techniques for minimal surfaces