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• W1582199946 abstract "We establish a classification of cubic minimal cones in case of the so-called radial eigencubics. Our principal result states that any radial eigencubic is either a member of the infinite family of eigencubics of Clifford type, or belongs to one of 18 exceptional families. We prove that at least 12 of the 18 families are non-empty and study their algebraic structure. We also establish that any radial eigencubic satisfies the trace identity detHess 3 (f) = �f for the Hessian matrix of f, where � 2 R. Another result of the paper is a correspondence between radial eigencubics and isoparametric hypersurfaces with four principal curvatures." @default.
• W1582199946 created "2016-06-24" @default.
• W1582199946 creator A5046809533 @default.
• W1582199946 date "2010-09-27" @default.
• W1582199946 modified "2023-09-26" @default.
• W1582199946 title "On a classification of minimal cubic cones in R n" @default.
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