• Communications of the Korean Mathematical Society
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• v.17 no.4
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• pp.619-623
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• 2002

In this paper, we study transnormal systems on the Euclidean and semi-Euclidean spaces. We classified transnormal systems on Rf" . We also prove that transnormal systems on R$\^$n/$\sub$p/ are algebraic even though there are non-algebraic isoparametric hypersurfaces.

• Communications of the Korean Mathematical Society
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• v.12 no.1
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• pp.109-112
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• 1997

In this paper, we study on a classification of hypersurfaces given by tansnormal functions on $R^{n+1}_1$. If M is a level set of a transnormal function on $R^{n+1}_1$, then it is one of a hyperplane, a cylinder around k-plane, a pseudo-sphere and a pseudo-hyperbolic space.