On Ricci pseudo-symmetric para-Kenmotsu manifolds

• Main Authors: KOTHURI SAI PRASAD, S SUNITHA DEVI, G V S R DEEKSHITULU
• Format: Article
• Language: English
• Published: BİSKA Bilisim Company 2018-02-01
• Series: New Trends in Mathematical Sciences
• Subjects: Para Kenmotsu manifold; Ricci pseudo-symmetric manifold; Einstein manifold; Ricci tensor.
• Online Access: https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8396

Considered a para-Kenmotsu manifold with the curvature condition S(X, Y)R = 0 and shown that it is an Einstein manifold. Further we considered para-Kenmotsu manifold with the conditions R(X, Y)S = f Q(g, S) and R(X, Y)R = f Q(S, R), known as the Ricci and generalised Ricci pseudo-symmetric manifolds, respectively and obtained the necessary conditions for these manifolds to be non-Einstein. Respectively S(X, Y) and R(X, Y) denotes the Ricci curvature tensor and the Riemannian curvature tensors.