Study of Ricci and Riemann soliton structures on concircularly ϕ-recurrent Sasakian manifolds
Year: 2025
Type: article
Abstract: The object of this paper is to study some properties of Ricci soliton structures on concircularly ?-recurrent Sasakian manifolds. Initially, it is proved that a concircularly ?-recurrent Sasakian mani-fold is an Einstein manifold and as a consequence of this, the Weyl conformal curvature tensor satisfies W (?, X)Y = 0. Further, the characterization of the vector field admitting Ricci and Riemann soliton have been studied. Additionally, the three-dimensional locally concircularly ?-recurrent Sasakian manifolds have been considered with an example and also it has been shown that such a manifold admitting almost Ricci soliton reduces to Ricci soliton.
Source: Filomat
DOI: 10.2298/fil2507141b
Author: Mahuya Bandyopadhyay
Institution: University of Technology Sydney
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413246548