On almost pseudo conformally symmetric manifolds

Abstract

The object of the present paper is to study a type of non-conformally flat semi-Riemannian manifolds called almost pseudo conformally symmetric manifold. The existence of an almost pseudo conformally symmetric manifold is also shown by a non-trivial example.

On φ-pseudo Symmetries of (LCS)n-Manifolds

“…However, pseudo symmetry by Chaki will be the pseudo symmetry by Deszcz if and only if the non-zero 1-form associated with (P S) n , is closed. Pseudo symmetric manifolds in the sense of Chaki have been studied by Chaki and Chaki [6], Chaki and De [7], De [9], De and Biswas [10], De and Guha [11], De, Murathan andÖzgür [13],Özen and Altay ( [21], [22]), Tarafder ([36], [37]), Tarafder and De [38] and others.…”

On Schouten-van Kampen connection in Sasakian manifolds

“…Sasakian manifolds have been studied many author such as Boyer [7], Tachibana [8], Tanno [14], Godliński et al [30], De et al [19], Mihai et al ( [20], [21]) and many others.…”

On Almost Pseudo Conharmonically Symmetric Manifolds

“…This is to be noted that the notion of pseudo symmetric manifold studied in particular by Deszcz [15] is different from that of Chaki [7]. In a recent paper, De and Gazi [10] introduced the notion of almost pseudo symmetric manifolds. A Riemannian manifold(M n , g), (n > 2) is said to be almost pseudo symmetric if its curvature tensorŔ of type (0,4) satisfies the condition:…”

“…If in the above equation B = A, then the (AP S) n reduces to a(P S) n . In subsequent papers ( [11], [12]) De and Gazi studied almost pseudo conformally symmetric manifolds and conformally flat almost pseudo Ricci symmetric manifolds. It may be mentioned that (P S) n is a particular case of an (AP S) n , but(W S) n is not a particular case of an (AP S) n .…”