Work

A study of *−Ricci solitons in the framework of trans-Sasakian 3-manifolds

Year: 2025

Type: article

Abstract: The purpose of this work is to study *-Ricci solitons in trans-Sasakian 3-manifolds. First, *-Ricci solitons in trans-Sasakian 3-manifolds admitting cyclic $\eta-$recurrent Ricci tensor, and the curvature condition $R\cdot Q =0$ are considered. Furthermore, the manifolds admitting *-Ricci solitons obeying certain conditions on the projective curvature tensor are being inspected. Finally, we construct an example of trans-Sasakian 3-manifold and proved that *-Ricci soliton on a trans-Sasakian 3-manifold is steady.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.67162

Authors: Abdul Haseeb, Daddabhadrappla Gowda Prakasha, Aysel Turgut Vanli, Mohd Bilal

Institutions: Jazan University, Davangere University, Gazi University, Umm al-Qura University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412633893

FWCI:

Cites: 22

Cited by:

Related to: 10