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...

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Veröffentlicht in:Bulletin mathématiques de la Société des sciences mathématiques de Roumanie 2009-01, Vol.52 (100) (3), p.291-305
Hauptverfasser: Falcitelli, Maria, Pastore, Anna Maria
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Pastore, Anna Maria
description 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 ψ-sectional curvatures. Further results are stated when the underlying structure is a K-structure or an f.pk-structure of Kenmotsu type.
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ispartof Bulletin mathématiques de la Société des sciences mathématiques de Roumanie, 2009-01, Vol.52 (100) (3), p.291-305
issn 1220-3874
2065-0264
language eng
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source Alma/SFX Local Collection; JSTOR Mathematics & Statistics
subjects Curvature
Dot product of vectors
Eigenvectors
Geometry
Mathematical functions
Pastores
Riemann manifold
Tensors
Vector fields
title Generalized globally framed f-space-forms
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