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Characterization of Parallel Isometric Immersions of Space Forms into Space Forms in the Class of Isotropic Immersions
Abstract. For an isotropic submanifold M n ( n ≧ 3) of a space form of constant sectional curvature c , we show that if the mean curvature vector of M n is parallel and the sectional curvature K of M n satisfies some inequality, then the second fundamental form …