مشخصات پژوهش

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.