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Abstract
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In this article, it was shown that the biharmonic hypersurfaces in Euclidean space with recurrent
operator are minimal. Infact, the biharmonic hypersurfaces with recurrent curvature operator, in En+1
have at most three distinct principal curvatures. Also, it followed the locally symmetric biharmonic
hypersurfaces in Euclidean space En+1 are minimal too.
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