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Generalized globally framed f-space-forms

Globally framed f-manifolds are studied from the point of view of the curvature. Generalized globally framed f-space-forms are introduced and the interrelation with generalized Sasakian and generalized complex space-forms is pointed out. Suitable differential equations allow to discuss the constancy of the '-sectional curvatures. Further results are stated when the underlying structure is a K-structure or an f.pk-structure of Kenmotsu type.