Biharmonic maps on tangent and cotangent bundles

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Abstract

We examine the harmonicity of some natural maps associated to the tangent and cotangent bundles, providing some new examples of proper biharmonic maps between pseudo-Riemannian manifolds.

MSC

53C50
53B30

Keywords

Harmonic and biharmonic map
Tangent and cotangent bundles
Complete lift metric
Riemannian extension

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