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

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

Advances in Mathematical Physics, 2024, vol. 2024, 1-14

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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:7445240

DOI: 10.1155/2024/7445240

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