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Let f : M^n→S^n+1真包含于R^n+2 be an n-dimensional complete oriented Riemannian manifold minimally immersed in an (n+1)-dimensional unit sphere S^n+1. Denote by S^n+1 the upper closed hemisphere. If f(M^n)包含于S+^n+1, then under some curvature conditions the au