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The Z-Tensor on Almost Co-Kählerian Manifolds Admitting Riemann Soliton Structure

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  • Sunil Kumar Yadav
  • Sameh Shenawy
  • Nasser Bin Turki
  • Rajendra Prasad
  • Mohammad Mirzazadeh

Abstract

A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo-Riemannian manifolds. This work aims at investigating almost co-Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z-tensor. For instance, the consequences of recurrency of the Z-tensor on almost co-Kählerian manifolds admitting a Riemann soliton structure are investigated. Finally, an appropriate example establishes the reality of an RS over three dimensions (ACKM) 2n+1.

Suggested Citation

  • Sunil Kumar Yadav & Sameh Shenawy & Nasser Bin Turki & Rajendra Prasad & Mohammad Mirzazadeh, 2024. "The Z-Tensor on Almost Co-Kählerian Manifolds Admitting Riemann Soliton Structure," Advances in Mathematical Physics, Hindawi, vol. 2024, pages 1-14, September.
    • Handle: RePEc:hin:jnlamp:7445240
    DOI: 10.1155/2024/7445240
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