From Yamabe to almost contact metric structure
DOI:
https://doi.org/10.12697/ACUTM.2024.28.18Keywords:
Almost contact metric structure, generalized C_12-manifold, trans-Sasakian manifold, Yamabe solitonAbstract
The investigation of Yamabe solitons within almost contact metric manifolds has garnered significant interest recently, producing notable findings. This paper aims to explore the inverse problem: constructing almost contact metric structures on a three-dimensional Riemannian manifold endowed with an almost Yamabe soliton. Subsequently, we provide the techniques required to characterize the nature of these structures, accompanied by concrete examples.