H. Elhendi, M. Terbeche and D. Mustapha
Received: February 24, 2013; Revised: January 28, 2014; Accepted: February 25, 2014
Abstract. The problem studied in this paper is related to the biharmonicity of a section from a Riemannian manifold (M, g) to its tangent bundle of order two T 2M equipped with the diagonal metric gD. We show that a section on a compact manifold is biharmonic if and only if is harmonic. We also investigate the curvature of (T 2M, gD) and the biharmonicity of section of M, as a map from (M, g) to (T 2M, gD).
Keywords: Diagonal metric; $\lambda$-lift; biharmonic section.
AMS Subject classification: Primary: 30C10, 30C15
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ISSN 0862-9544 (Printed edition)
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