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Non-isoparametric solutions of the eikonal equation
Non-isoparametric solutions eikonal equation
2010/12/3
In this paper, we prove that a quartic solution of the eikonal equation |∇xf|2 = 16x6 in Rn is either isoparametric or congruent to a polynomial f = (Pn i=1 x2 i )2 − 8(Pk i=1 x2 i )(Pn
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