From Ricci Soliton to Almost Contact Metric Structures

Year 2024, Volume: 17 Issue: 2, 496 - 506, 27.10.2024

Beldjilali Gherici

https://doi.org/10.36890/iejg.1472479

Abstract

In this paper, we construct almost contact metric structures on a three-dimensional Riemannian manifold equipped with an almost Ricci soliton. Then, we give the techniques necessary to define the nature of such structures. Concrete examples are given.

Keywords

Almost contact metric structure, trans-Sasakian manifolds, $C_{12}$-manifolds, Ricci soliton.

Supporting Institution

No

References

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