M.T.K. Abbassi and G. Calvaruso∗ HARMONIC MAPS HAVING TANGENT BUNDLES WITH g-NATURAL METRICS AS SOURCE OR TARGET
نویسنده
چکیده
We produce new examples of harmonic maps, having as either source or target manifold the tangent bundle TM on a Riemannian manifold (M,g), equipped with a Riemannian g-natural metric G. In particular, we study the harmonicity of the canonical projection π : (TM,G)→ (M,g), and of the identity map (TM,G)→ (TM,gS) and conversely, gS being the Sasaki metric on TM. A corresponding study is made for the unit tangent sphere bundle T1M, equipped with a Riemannian g-natural metric G̃.
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