We produce new examples of harmonic maps, having as source manifold a space (M,g) of constant sectional curvature and as target manifold its tangent bundle TM, equipped with a suitable Riemannian g-natural metric. In particular, we determine a family of Riemannian g-natural metrics G on TS^2, with respect to which all conformal gradient vector fields define harmonic maps from S^2 into (TS^2,G), where S^2 denotes the unit sphere of dimension two.
Some examples of harmonic maps for g-natural metrics
CALVARUSO, Giovanni;PERRONE, Domenico;
2009-01-01
Abstract
We produce new examples of harmonic maps, having as source manifold a space (M,g) of constant sectional curvature and as target manifold its tangent bundle TM, equipped with a suitable Riemannian g-natural metric. In particular, we determine a family of Riemannian g-natural metrics G on TS^2, with respect to which all conformal gradient vector fields define harmonic maps from S^2 into (TS^2,G), where S^2 denotes the unit sphere of dimension two.File in questo prodotto:
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