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Zbl 1156.53027
Alegre, Pablo; Carriazo, Alfonso
Structures on generalized Sasakian-space-forms. (English)
[J] Differ. Geom. Appl. 26, No. 6, 656-666 (2008). ISSN 0926-2245

Summary: Contact metric and trans-Sasakian generalized Sasakian-space-forms are deeply studied. We present some general results for manifolds with dimension greater than or equal to 5, and we also pay a special attention to the 3-dimensional cases.

MSC 2000:: *53C25 Special Riemannian manifolds
53D15 Almost contact and almost symplectic manifolds

Keywords: almost contact metric manifold; Sasakian manifold; Sasakian-space-form; warped product; $(\kappa, \mu )$-space; $\eta $-Einstein manifold; $\alpha $-Sasakian manifold; $\beta $-Kenmotsu manifold

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Zentralblatt MATH Berlin [Germany]