【摘要】 研究(5维洛伦兹球面)中的Ⅲ型洛伦兹等参超曲面。证明了最小多项式为(λ-1)3(λ+1)洛伦兹等参超曲面~M局地被五个一元函数C1(u),C2(u),C3(u),C4(u),C5(u)所唯一确定。并给出了M~的解析表达式。还说明了S51中的任何Ⅲ型洛伦兹等参超曲面M局部地与最小多项式为(λ-1)3(λ+1)的某个洛伦兹等参超曲面~M的平行超曲面重合。更多还原

【Abstract】 In this thesis,a class of isoparametric hypersurfaces in the Lorentzian sphere S51 are studied.It is proved that any Lorentzian isoparametric hypersurface M of type III in S51 is locally congruent to a parallel hypersurface of a Lorentzian isoparametric hypersurface M with minimal polynomial(λ-1)3(λ+1).And is determined uniquely by five functions,C1(u),C2(u),C3(u),C4(u) and C5(u).For Lorentzian isoparametric hypersurface with minimal polynomial(λ-1)3(λ+1) in the analytic expression is given.更多还原