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Complete hypersurfaces in a Euclidean space R^n+1

Complete hypersurfaces in a Euclidean space R^n+1

In this paper, we consider n-dimensional oriented complete hypersurfaces with constant scalar curvature of a Euclidean space R n+1 .We characterize the hypersurface S k (c) × R n-k in a Euclidean space R n+1 and show that Yau's conjecture is true for the class of oriented compact locally conformally …