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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Main Authors: Sevinç, Sibel, Şekerci, Gülşah Aydın, Çöken, Abdilkadir Ceylan
Format: Conference Proceeding
Language:English
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Euclidean space
Hyperspaces
Manifolds (mathematics)
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Şekerci, Gülşah Aydın
Çöken, Abdilkadir Ceylan
description 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.
doi_str_mv 10.1063/1.5020490
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source American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)
subjects Euclidean space
Hyperspaces
Manifolds (mathematics)
title On biharmonic hypersurfaces in semi-Euclidean spaces
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