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Maps interchanging \(f\)-structures and their harmonicity. (English) Zbl 1030.53048

In this paper the authors study some remarkable classes of metric \(f\)-structures on differentiable manifolds (namely, almost Hermitian, almost contact, almost \({\mathcal{S}}\)-structures and \({\mathcal{K}}\)-structures). They state and prove the necessary condition(s) for the existence of maps commuting such structures. The paper contains several new results of geometric significance on CR-integrable manifolds and the harmonicity of such maps.

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
58E20 Harmonic maps, etc.
53C43 Differential geometric aspects of harmonic maps
53D15 Almost contact and almost symplectic manifolds
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