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9 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…
On symmetries of generalized Robertson-Walker Space-times and applications
H. K. El-Sayied, S. Shenawy, N. Syied
The purpose of the present article is to study and characterize sev- eral types of symmetries of generalized Robertson-Walker space-times. Con- formal vector fields, curvature and…
Conformal vector fields on doubly warped product manifolds and applications
H. K. El-Sayied, Sameh Shenawy, Noha Syied
In this article, we present a complete study of two disjoint classes of conformal vector fields on doubly warped product manifolds as well as on doubly warped space-times. Then we…
Ricci solitons on singly warped product manifolds and applications
Uday Chand De, Carlo Alberto Mantica, Sameh Shenawy +1
The purpose of this article is to study implications of a Ricci soliton warped product manifold to its base and fiber manifolds. First, it is proved that if a warped product manifo…