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

Duggal, K. L.; Ianus, S.; Pastore, A. M.

Acta Appl. Math. 67, No. 1, 91-115 (2001).

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.

Reviewer: Neculai Papaghiuc (Iaşi)

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

Keywords:

\(f\)-structures; harmonic maps; CR-manifolds