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We classify complete orientable hypersurfaces of constant isotropic curvaturein space forms. We show that such a hypersurface has constant mean curvatureonly if it is an isoparametric hypersurface, and that it is minimal if and onlyif it is totally geodesic or it is the Clifford minimal hypersurface ${\mathbbS}^{3}(\frac{4c}{3})\times {\mathbb S}^{1}(4c)$ in ${\mathbb S}^{5}(c).$

Complete Hypersurfaces of Constant Isotropic Curvature in Space Forms