Biharmonic submanifolds in 3 -dimensional ( κ, μ ) -manifolds

K. Arslan, R. Ezentas, C. Murathan and T. Sasahara

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-12

Abstract:

Biharmonic maps between Riemannian manifolds are defined as critical points of the bienergy and generalized harmonic maps. In this paper, we give necessary and sufficient conditions for nonharmonic Legendre curves and anti-invariant surfaces of 3 -dimensional ( κ , μ ) -manifolds to be biharmonic.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:163810

DOI: 10.1155/IJMMS.2005.3575

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