Abstract

An algebraic characterization of generalized Sasakian-space-forms is stated. Then, one studies the almost contact metric manifolds which are locally conformal to $C_6$-manifolds, simply called l.c. $C_6$-manifolds. In dimension 2n+1>=5, any of these manifolds turns out to be locally conformal cosymplectic or globally conformal to a Sasakian manifold. Curvature properties of l.c. $C_6$-manifolds are obtained, with particular attention to the k-nullity condition. This allows one to state a local classification theorem, in dimension 2n+1>=5, under the hypothesis of constant sectional curvature. Moreover, one proves that an l.c. $C_6$-manifold is a generalized Sasakian-space-form if and only if it satisfies the k-nullity condition and has pointwise constant $\varphi$-sectional curvature. Finally, local classification theorems for the generalized Sasakian-space-forms in the considered class are obtained.

Autore Pugliese

• Falcitelli Maria

Tutti gli autori

• FALCITELLI M.

Titolo volume/Rivista

Non Disponibile

Anno di pubblicazione

2010

ISSN

1660-5446

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

3

Ultimo Aggiornamento Citazioni

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Settori ERC

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Codici ASJC

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