∗‐Ricci Tensor on α‐Cosymplectic Manifolds

M. R. Amruthalakshmi, D. G. Prakasha, Nasser Bin Turki and Inan Unal

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

Abstract: In this paper, we study α‐cosymplectic manifold M admitting ∗‐Ricci tensor. First, it is shown that a ∗‐Ricci semisymmetric manifold M is ∗‐Ricci flat and a ϕ‐conformally flat manifold M is an η‐Einstein manifold. Furthermore, the ∗‐Weyl curvature tensor W∗ on M has been considered. Particularly, we show that a manifold M with vanishing ∗‐Weyl curvature tensor is a weak ϕ‐Einstein and a manifold M fulfilling the condition RE1,E2⋅W∗=0 is η‐Einstein manifold. Finally, we give a characterization for α‐cosymplectic manifold M admitting ∗‐Ricci soliton given as to be nearly quasi‐Einstein. Also, some consequences for three‐dimensional cosymplectic manifolds admitting ∗‐Ricci soliton and almost ∗‐Ricci soliton are drawn.

Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2022/7939654

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:7939654

Access Statistics for this article

More articles in Advances in Mathematical Physics from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().