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Some results on generalized Sasakian-space-forms. (English) Zbl 1213.53058

Summary: The object of the present paper is to study locally \(\phi \)- symmetric generalized Sasakian-space-forms and generalized Sasakian-space-forms with \(\eta \)- recurrent Ricci tensor. Such space-forms with three-dimensional quasi-Sasakian structure are also considered.

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53D15 Almost contact and almost symplectic manifolds
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