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Zbl 1064.53026
Alegre, Pablo; Blair, David E.; Carriazo, Alfonso
Generalized Sasakian-space-forms. (English)
[J] Isr. J. Math. 141, 157-183 (2004). ISSN 0021-2172; ISSN 1565-8511/e

The authors introduce generalized Sasakian-space-forms and study their basic properties. They state that every generalized Sasakian-space-form with a $K$-contact structure is a Sasakian manifold, and, if the dimension is $\geq5$, a Sasakian-space-form. The conditions for a generalized Sasakian-space-form to be a contact metric manifold are investigated. To construct many examples of these manifolds the authors use a wide variety of geometric constructions, such as Riemannian submersions, product manifolds, warped products, conformal transformations, $D$-homothetic deformations and $D$-conformal deformations. Some further results on generalized complex-space-forms are also stated.
[Neda Bokan (Beograd)]

MSC 2000:: *53C25 Special Riemannian manifolds

Keywords: Riemannian submersion; Sasakian-space-forms; $K$-contact structure

Cited in: Zbl 1241.53037 Zbl 1260.53046 Zbl 1176.53047 Zbl 1131.53024 Zbl 1118.53025 Zbl 1109.53056 Zbl 1090.53027 Zbl 1076.53054

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