Study of η-einstein soliton on α-sasakian manifold admitting schouten-van kampen connection

The purpose of the present paper is to study some properties of α -Sasakian manifolds with respect to Schouten-van Kampen connection. We study η-Einstein soliton on pseudo-projectively flat α-Sasakian manifolds with respect to Schouten-van Kampen connection. Further, we discuss η-Einstein soliton on quasi-concircularly flat and Wi-flat α-Sasakian manifolds with respect to this connection.

کلیدواژه ها:

α-Sasakian manifolds ، Schouten-van Kampen nconnection ، η-Einstein soliton ، pseudo-projective curvature tensor ، quasi-concircular curvature tensor ، Wi-curvature tensor