Work

Golden Riemannian Manifolds Admitting Ricci–Bourguignon Solitons

Year: 2026

Type: article

Abstract: In this paper, we examine Ricci–Bourguignon solitons on locally decomposable golden Riemannian manifolds of constant golden sectional curvature. First, we establish an explicit expression for the soliton constant in terms of the golden structure and the Bourguignon parameter. Second, we explore the geometry of these solitons when the potential vector fields are Killing, conformal Killing, homothetic, or concurrent. Finally, we initiate the study of golden Ricci–Bourguignon solitons, determine their soliton constants, and examine their properties under the specific potential vector fields.

Source: Mathematics

DOI: 10.3390/math14040701

Authors: Bang-Yen Chen, Foued Aloui, Afshan Perween, Majid Ali Choudhary

Institutions: Michigan State University, Imam Mohammad ibn Saud Islamic University, Maulana Azad National Urdu University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Al-Imam Muhammad Ibn Saud Islamic University