67 citations
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Showing 2015 · math.DGShow all
3 papers · 2 filters
math.DG2015★ 19 cited
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…
math.DG2015★ 25 cited
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…
math.DG2015★ 49 cited
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…