Conformally flat generalized globally framed f-space-forms are studied. In particular, in the case of corank s>2, the phi-sectional curvature c, which is pointwise constant, determines the curvature tensor field. The constancy of c implies the flatness of the manifold. If c is not constant, a local classification of the considered spaces is obtained. This allows to produce explicit examples and to discuss the existence of those spaces whose underlòying f-structure is of a particular type.
Conformally flat generalized globally framed f-space-forms
FALCITELLI, Maria
;PASTORE, Anna Maria
2015-01-01
Abstract
Conformally flat generalized globally framed f-space-forms are studied. In particular, in the case of corank s>2, the phi-sectional curvature c, which is pointwise constant, determines the curvature tensor field. The constancy of c implies the flatness of the manifold. If c is not constant, a local classification of the considered spaces is obtained. This allows to produce explicit examples and to discuss the existence of those spaces whose underlòying f-structure is of a particular type.File in questo prodotto:
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