On a Semi-Symmetric Metric Connection in an SP-Sasakian Manifold

SP-Sasakian Manifolds Admitting Special Semi - Symmetric Recurrent Metric Connection

“…The semi-symmetric metric connection in an SP-Sasakian manifold have been studied by Sinhaand Kalpna [4].In the present paper we have studied with quarter-symmetric metric connection in an SP-Sasakian manifold . We also discuss the different type of curvatures with a quarter-symmetric metric connection in an SP-Sasakian manifold .This paper organized as fallows after preliminaries .…”

Generalized Conformal Curvature Tensor of Lp-Sasakian Manifold

“…The notation of Lorentizian para-Sasakian manifold was introduced by K. Matsumoto [9] in the year 1989.Later in 1992, the same notation was defined by Mihai and Rosca [10] independently. Since 1989, various geometric properties of LP-Sasakian manifolds have been explored by several researchers such as ( [5], [8], [12], [16], [17]) and others.…”

Projective Curvature Tensor of Riemannian Manifolds Admitting A Projective Semi-Symmetric Connection

“…After a long interval, Yano [13] started the systematic study of semi-symmetric metric connection on a Riemannian manifold in 1970. In this connection, the properties of semi-symmetric metric connection are studied in ( [5], [19], [25], [27], [30], [36], [40], [42], [43], [48]) and others. P. Zhao and H. Song [21] defined and studied a projective semi-symmetric connection on Riemannian manifold in 2001.…”