On warped product generalized Roter type manifolds

A Shaikh, H Kundu
unpublished
Generalized Roter type manifolds form an extended class of Roter type manifolds, which gives rise the form of the curvature tensor in terms of algebraic combinations of the fundamental metric tensor and Ricci tensors upto level 2. The object of the present paper is to investigate the characterization of a warped product manifold to be a generalized Roter-type (and hence as a special case for Roter type and conformally flat) manifold. We also present an example by a metric which ensures the
more » ... ence of a warped product generalized Roter type manifold but is not Roter type manifold. M.S.C. 2010: 53C15, 53C25, 53C35.
fatcat:7lflpgpdu5brnc23jovnlwuwg4