Some Curvature Properties of Generalized Sasakian-Space-Forms

The object of this paper is to study of pseudo projective curvature tensor and C-Bochner curvature tensor on generalized Sasakian-space-forms. We show that pseudo projective generalized Sasakian-space-forms are Einstein manifolds. Additionally, generalized Sasakian-space-forms under some conditions related to pseudo projective curvature tensor are studied. In next, we consider the conditions B(X,Y)Z=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$B(X,Y)Z=0$$\end{document} and R.B=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$R.B=0$$\end{document} on a generalized Sasakian-space-form, where B is the C-Bochner curvature tensor.