Maria Falcitelli and Anna Maria Pastore: Generalized globally framed $f$-space-forms, p.291-305

Abstract:

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 $\varphi$-sectional curvatures. Further results are stated when the underlying structure is a $\mathcal K$-structure or an $f.pk$-structure of Kenmotsu type.

Key Words: $f$-structure, space-form, generalized space form.

2000 Mathematics Subject Classification: Primary: 53C15,
Secondary: 53C25.

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