THREE-DIMENSIONAL CURVATURE HOMOGENEOUS HYPERSURFACES

G. Calvaruso, R. A. Marinosci and D. Perrone

Address. Universita' degli Studi di Lecce, Dipartimento di Matematica, Via Provinciale Lecce-Arnesano, 73100 Lecce, ITALY

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