Space-like Isoparametric Hypersurfaces in Lorentzian Space Forms

doi:10.1007/s11464-005-0026-y

Front. Math. China

2006, Vol. 1

Issue (1) : 130-137 https://doi.org/10.1007/s11464-005-0026-y

Space-like Isoparametric Hypersurfaces in Lorentzian Space Forms

LI Zhen-qi¹, XIE Xian-hua²

1.Department of Mathematics, Nanchang University, Nanchang 330047, China; 2.Department of Mathematics and Computer Science, Gannan Teachers′ College, Ganzhou 341000, China;

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Abstract The purpose of this paper is to make clear the so-called Nomizu problem, whether it is possible to find examples of space-like isoparametric hypersurfaces in Hⁿ⁺¹₁ with more than two distinct principal curvatures. It is proved that a space-like isoparametric hypersurface in Hⁿ⁺¹₁ or testSⁿ⁺¹₁ can have at most two distinct principal curvatures. The authors present the classification and explicit analytic expressions of such type of isoparametric hypersurfaces.

Issue Date: 05 March 2006

Cite this article:

LI Zhen-qi,XIE Xian-hua. Space-like Isoparametric Hypersurfaces in Lorentzian Space Forms[J]. Front. Math. China, 2006, 1(1): 130-137.

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https://academic.hep.com.cn/fmc/EN/10.1007/s11464-005-0026-y
https://academic.hep.com.cn/fmc/EN/Y2006/V1/I1/130

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