A class of minimal hypersurfaces in ${\mathbb{Q}}^N(c)$

Abstract

We prove that a minimal hypersurfaces $f:M^3\to {\mathbb{Q}}^4(c)$ with nonzero three distinct principal curvature cannot be isometrically immersed in ${\mathbb{Q}}^4(\tilde{c}),\tilde{c}\ne c$. In the other cases, we present a description of such hypersurfaces.

17 pages