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Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form
There is considered the problem of describing up to linear conformal
equivalence those harmonic cubic homogeneous polynomials for which the
squared-norm of the Hessian is a nonzero multiple of the quadratic form
defining the Euclidean metric. Solutions are constructed in all dimensions and
solutions are classified in dimension at most . Techniques are given for
determining when two solutions are linearly conformally inequivalent.Comment: v3. Typos correcte
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