Transnormal systems in semi-Riemannian spaces
Commun. Korean Math. Soc. 2002 Vol. 17, No. 4, 619-623
Printed December 1, 2002
Kwang Sung Park
Keimyung University
Abstract : In this paper, we study transnormal systems on the Euclidean and semi-Euclidean spaces. We classified transnormal systems on $R^{n+1}_p$. We also prove that transnormal systems on $R^n_p$ are algebraic even though there are non-algebraic isoparametric hypersurfaces.
Keywords : transnormal system, transnormal function, isoparametric function, semi-Riemannian, null-cylinder
MSC numbers : Primary 53C50
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