E-mail: giovanni@ilenic.unile.it, rosanna@ilenic.unile.it, perrone@ilenic.unile.it
Abstract. This paper is motivated by the open problem whether a three-dimensional curvature homogeneous hypersurface of a real space form is locally homogeneous or not. We give some partial positive answers.
AMSclassification. 53C30, 53C40
Keywords. Curvature homogeneous spaces, isoparametric hypersurfaces