@ARTICLE{Mohammadpouri,
author = {Mohammadpouri, A. and Pashaie, F. and Tajbakhsh, S. and },
title = {$L_1$-Biharmonic Hypersurfaces in Euclidean Spaces with Three Distinct Principal Curvatures},
volume = {13},
number = {2},
abstract ={Chen's biharmonic conjecture is well-known and stays open: The only biharmonic submanifolds of Euclidean spaces are the minimal ones. In this paper, we consider an advanced version of the conjecture, replacing $Delta$ by its extension, $L_1$-operator ($L_1$-conjecture). The $L_1$-conjecture states that any $L_1$-biharmonic Euclidean hypersurface is 1-minimal. We prove that the $L_1$-conjecture is true for $L_1$-biharmonic hypersurfaces with three distinct principal curvatures and constant mean curvature of a Euclidean space of arbitrary dimension. },
URL = {http://ijmsi.ir/article-1-816-en.html},
eprint = {http://ijmsi.ir/article-1-816-en.pdf},
journal = {Iranian Journal of Mathematical Sciences and Informatics},
doi = {},
year = {2018}
}