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Conformal Vector Fields on Doubly Warped Product Manifolds and Applications

Author

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  • H. K. El-Sayied
  • Sameh Shenawy
  • Noha Syied

Abstract

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.

Suggested Citation

  • H. K. El-Sayied & Sameh Shenawy & Noha Syied, 2016. "Conformal Vector Fields on Doubly Warped Product Manifolds and Applications," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-11, October.
    • Handle: RePEc:hin:jnlamp:6508309
    DOI: 10.1155/2016/6508309
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    Cited by:

    1. Adara M. Blaga & Cihan Özgür, 2023. "Killing and 2-Killing Vector Fields on Doubly Warped Products," Mathematics, MDPI, vol. 11(24), pages 1-14, December.
    2. Blaga, Adara M. & Özgür, Cihan, 2024. "2-Killing vector fields on multiply warped product manifolds," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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