On the characterization of Ricci–Bourguignon solitons
Volume 134 / 2025
Annales Polonici Mathematici 134 (2025), 297-304
MSC: Primary 53C21; Secondary 53C25
DOI: 10.4064/ap240922-19-12
Published online: 30 December 2024
Abstract
We study solitons associated with the Ricci–Bourguignon flow. Firstly, we prove a result for a Ricci–Bourguignon soliton that generalizes a corresponding result for a Ricci soliton. Then, we study radially-flat gradient Ricci–Bourguignon solitons and infer that they are rigid. Finally, we characterize gradient Ricci–Bourguignon solitons endowed with a non-parallel, closed homothetic vector field.
