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Biharmonic maps between Riemannian manifolds are defined ascritical points of the bienergy and generalizedharmonic maps. In this paper, we give necessary and sufficientconditions for nonharmonic Legendre curves and anti-invariantsurfaces of 3-dimensional (κ,μ)-manifolds to bebiharmonic

international journal of mathematics and mathematical sciences

Biharmonic submanifolds in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$3$"><mml:mn>3</mml:mn></mml:math>-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$(\kappa, \mu)$"><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mi>κ</mml:mi><mml:mo>,</mml:mo><mml:mi>μ</mml:mi></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:math>-manifolds

Biharmonic submanifolds in3-dimensional(κ,μ)-manifolds