$L_k$-biharmonic spacelike hypersurfaces in Minkowski $4$-space $mathbb{E}_1^4$

Biharmonic surfaces in Euclidean space $mathbb{E}^3$ are firstly studied from a differential geometric point of view by Bang-Yen Chen, who showed that the only biharmonic surfaces are minimal ones. A surface $x : M^2rightarrowmathbb{E}^{3}$ is called biharmonic if $Delta^2x=0$, where $Delta$ is the...

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Bibliographic Details
Main Authors: Firooz Pashaie, Akram Mohammadpouri
Format: Article
Language:English
Published: University of Maragheh 2017-01-01
Series:Sahand Communications in Mathematical Analysis
Subjects:
Online Access:http://scma.maragheh.ac.ir/article_20589_41cae243cd77692b496d7ab7a304e79b.pdf