67 citations
- Ain Shams UniversityEG30 papers
- Institute of High Energy PhysicsCN29 papers
- National Taiwan UniversityTW29 papers
- University of SouthamptonGB29 papers
- A. Alikhanyan National LaboratoryAM28 papers
- Abiola Ajimobi Technical University IbadanNG28 papers
- Adıyaman UniversityTR28 papers
- AGH University of KrakowPL28 papers
- At BristolGB28 papers
- Athens State UniversityUS28 papers
- Beihang UniversityCN28 papers
- Bethel CollegeUS28 papers
6 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…
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…
Sequential Warped Products: Curvature and Killing Vector Fields
Uday Chand De, Sameh Shenawy, Bülent Ünal
In this note, we introduce a new type of warped products called as sequential warped products to cover a wider variety of exact solutions to Einstein's equation. First, we study th…
Killing Vector Fields on Warped Product Manifolds
Sameh Shenawy, Bulent Unal
The present article provides a study of Killing vector fields on warped product manifolds as well as characterization of this structure on standard static and generalized Rober…