Bulletin of the
Korean Mathematical Society BKMS

In this paper, a type of Riemannian manifold (namely, pseudo semiconformally symmetric manifold) is introduced. Also the several geometric properties of such a manifold is investigated. Finally the existence of such a manifold is ensured by a proper example.

Keywords: pseudo semiconformally symmetric manifold, harmonic semiconformal curvature tensor, scalar curvature, closed 1-forms, recurrent tensors, Einstein manifolds, Ricci tensor, pseudo symmetric, parallel vector

MSC numbers: 53A55, 53B20