Conformal homogeneous spacelike hypersurfaces with two distinct principal curvatures in Lorentzian space forms

Let Mⁿ⁺¹₁(c) be an (n + 1)-dimensional Lorentzian space form and C(Mⁿ⁺¹₁(c)) denote the conformal transformation group of Mⁿ⁺¹₁(c). A spacelike hypersurface f: Mⁿ→ Mⁿ⁺¹₁(c) is called a conformal homo- geneous spacelike hypersurface, If there exists a subgroup G ⊂ C(Mⁿ⁺¹₁(c)) such that the orbit G(p) = f(Mⁿ), p ∈ f(Mⁿ). In this paper, we classify completely all conformal homogeneous spacelike hypersurfaces with two distinct principal curvatures under the conformal transformation group of Mⁿ⁺¹₁(c) when the dimension n ≥ 3.