| In this thesis, Lorentzian isoparametric hypersurfaces in the Lorentzian sphere S1n+1 are studied. It is proved that a Lorentzian isoparametric hypersurface of type Ⅱ in S1n+1 has at most two distinct principal curvatures. Especially, Lorentzian isoparametric hypersurfaces of type Ⅱ in S14 are studied. The analytic expression for a Lorentzian isoparametric hypersurface M with minimal polynomial λ2 in S14 is given. It is proved that M is determined uniquely by two functions C1t and C2t of one variable, and any isoparametric hypersurface M with minimal polynomial (λ-α)2 in the Lorentzian sphere S14 is locally congruent to a parallel hypersurface of M.
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