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On the Gauss Map of Submanifolds (II)

Let N be a hypersurface of the Euclidean space E n+1 , and M be an submanifold isometrically immersed in N . In this paper, the Gauss map of M is studied. By determining the differential of the Gauss map, the relationship among the Ricci curvature, the second and the third fundamental forms of M is establish.