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Zbl 1118.53025
Kim, Un Kyu
Conformally flat generalized Sasakian-space-forms and locally symmetric generalized Sasakian-space-forms. (English)
[J] Note Mat. 26, No. 1, 55-67 (2006). ISSN 1123-2536; ISSN 1590-0932/e

{\it P. Alegre, D. E. Blair} and {\it A. Carriazo} [Isr. J. Math. 141, 157--183 (2004; Zbl 1064.53026)] introduced the so-called generalized Sasakian-space forms. Such spaces are almost contact metric manifolds whose curvature tensor has a special expression. In the present paper, the author classifies generalized Sasakian-space forms under the additional assumption that they are conformally flat and the characteristic vector field is Killing. Moreover, he classifies locally symmetric generalized Sasakian-space forms.
[D. Perrone (Lecce)]

MSC 2000:: *53C25 Special Riemannian manifolds
53C15 Geometric structures on manifolds
53D15 Almost contact and almost symplectic manifolds

Keywords: Generalized Sasakian-space-form; Conformally flat; Locally symmetric; Codazzi tensor; Almost contact metric manifold

Citations: Zbl 1064.53026

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