## 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