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4 papers · 1 filter
Concircular curvature on warped product manifolds and applications
Uday Chand De, Sameh Shenawy, Bulent Unal
This study aims mainly at investigating the effects of concircular flatness and concircular symmetry of a warped product manifold on its fibre and base manifolds. Concircularly fla…
Gray s decomposition on doubly warped product manifolds and applications
Hoda K. El-Sayed, Carlo Alberto Mantica, Sameh Shenawy +1
A. Gray presented an interesting invariant decomposition of the covariant derivative of the Ricci tensor. Manifolds whose Ricci tensor satisfies the defining pr…
On generalized quasi-Einstein GRW space-times
Uday Chand De, Sameh Shenawy
Recently, it is proven that generalized Robertson-Walker space-times in all orthogonal subspaces of Gray's decomposition but one(unrestricted) are perfect fluid space-times. GRW sp…
Perfect-fluid, generalised Robertson-Walker space-times, and Gray's decomposition
Carlo Alberto Mantica, Luca Guido Molinari, Young Jin Suh +1
We give new necessary and sufficient conditions on the Weyl tensor for generalized Robertson-Walker (GRW) space-times to be perfect-fluid space-times. For GRW space-times, we deter…