D-Conformal Curvature Tensor on (LCS)_{n}-Manifold

Year 2018, Volume: 10, 215 - 221, 29.12.2018

Ümit Yıldırım , Mehemt Atçeken , Süleyman Dirik

Abstract

This paper deals with the study of geometry of (LCS)_{n}-manifolds. We investigate some properties of

D-conformally flat and D-conformally semi-symmetric curvature conditions on (LCS)_{n}-manifold.

We classify (LCS)_{n}-manifolds, which satisfy the curvature conditions

B(\xi,Y)P=0 and B(\xi,Y)S=0, where B is the D-conformal curvature tensor and S is the Ricci tensor of manifold.

Keywords

(LCS)_{n}-Manifold, D-Conformal Curvature Tensor, Semi-Symmetric

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