Conformal Vector Fields on Doubly Warped Product Manifolds and Applications

This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds. A special attention is paid to concurrent vector field...

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Main Authors: H. K. El-Sayied, Sameh Shenawy, Noha Syied
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2016/6508309
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author H. K. El-Sayied
Sameh Shenawy
Noha Syied
author_facet H. K. El-Sayied
Sameh Shenawy
Noha Syied
author_sort H. K. El-Sayied
collection DOAJ
description This article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds. A special attention is paid to concurrent vector fields. Finally, Ricci solitons on doubly warped product spacetime admitting conformal vector fields are considered.
format Article
id doaj-art-3284b846e91e44c69f6cbf7a0ce97173
institution Kabale University
issn 1687-9120
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language English
publishDate 2016-01-01
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record_format Article
series Advances in Mathematical Physics
spelling doaj-art-3284b846e91e44c69f6cbf7a0ce971732025-02-03T01:26:41ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/65083096508309Conformal Vector Fields on Doubly Warped Product Manifolds and ApplicationsH. K. El-Sayied0Sameh Shenawy1Noha Syied2Mathematics Department, Faculty of Science, Tanta University, Tanta 31527, EgyptModern Academy for Engineering and Technology, Maadi 11585, EgyptModern Academy for Engineering and Technology, Maadi 11585, EgyptThis article aimed to study and explore conformal vector fields on doubly warped product manifolds as well as on doubly warped spacetime. Then we derive sufficient conditions for matter and Ricci collineations on doubly warped product manifolds. A special attention is paid to concurrent vector fields. Finally, Ricci solitons on doubly warped product spacetime admitting conformal vector fields are considered.http://dx.doi.org/10.1155/2016/6508309
spellingShingle H. K. El-Sayied
Sameh Shenawy
Noha Syied
Conformal Vector Fields on Doubly Warped Product Manifolds and Applications
Advances in Mathematical Physics
title Conformal Vector Fields on Doubly Warped Product Manifolds and Applications
title_full Conformal Vector Fields on Doubly Warped Product Manifolds and Applications
title_fullStr Conformal Vector Fields on Doubly Warped Product Manifolds and Applications
title_full_unstemmed Conformal Vector Fields on Doubly Warped Product Manifolds and Applications
title_short Conformal Vector Fields on Doubly Warped Product Manifolds and Applications
title_sort conformal vector fields on doubly warped product manifolds and applications
url http://dx.doi.org/10.1155/2016/6508309
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