On biharmonic hypersurfaces in semi-Euclidean spaces

In this paper we study biharmonic hypersurfaces of semi-Euclidean spaces. We consider the Chen conjecture which states that the only biharmonic submanifolds of Euclidean spaces are the minimal ones. In particular, we obtain some conditions for biharmonic hypersurfaces in semi-Euclidean spaces. Final...

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Bibliographic Details
Main Authors: Sevinç, Sibel, Şekerci, Gülşah Aydın, Çöken, Abdilkadir Ceylan
Format: Conference Proceeding
Language:English
Subjects:
Euclidean space
Hyperspaces
Manifolds (mathematics)
Online Access:Get full text
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Summary:In this paper we study biharmonic hypersurfaces of semi-Euclidean spaces. We consider the Chen conjecture which states that the only biharmonic submanifolds of Euclidean spaces are the minimal ones. In particular, we obtain some conditions for biharmonic hypersurfaces in semi-Euclidean spaces. Finally, we give some examples for different conditions.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.5020490