Abstract
We classify hypersurfaces of the hyperbolic space ℍn+1(c) with constant scalar curvature and with two distinct principal curvatures. Moreover, we prove that if Mn is a complete hypersurfaces with constant scalar curvature n(n − 1) R and with two distinct principal curvatures such that the multiplicity of one of the principal curvatures is n− 1, then R ≥ c. Additionally, we prove two rigidity theorems for such hypersurfaces.
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