On Generalized $\phi$-Recurrent Generalized Sasakian-Space-Forms

Shyamal Kumar Hui, Prakasha Doddabhadrappla Gowda, Vasant Chavan

Abstract

The object of the present paper is to study generalized $\phi$-recurrent generalized Sasakian-space-forms and its various geometric properties. Among the results established here, it is shown that a generalized $\phi$-recurrent generalized Sasakian-space-form is an Einstein manifold. Further, we study generalized concircular $\phi$-recurrent generalized Sasakian-space-forms.