Harmonic sections of tangent bundles equipped with Riemannian $g$-natural metrics

M. T. K. Abbassi, G. Calvaruso, D. Perrone

Let $(M,g)$ be a Riemannian manifold. When $M$ is compact and the tangent bundle $TM$ is equipped with the Sasaki metric $g^s$, the only vector fields which define harmonic maps fr…