On HRB solitons and their submanifolds

Key Points

• The aim is to introduce and characterize hyperbolic Ricci-Bourguignon solitons and their submanifolds within the context of geometric flows.
• Introduce hyperbolic Ricci-Bourguignon solitons as solutions to hyperbolic Ricci-Bourguignon flow.
• Examine different vector fields associated with these solitons.
• Study immersed submanifolds as hyperbolic Ricci-Bourguignon solitons.
• Characterize solitons on sequential warped product manifolds.
• Hyperbolic Ricci-Bourguignon solitons were identified under various vector fields.
• Immersed submanifolds were successfully characterized as solitons.
• Sequential warped product manifolds revealed unique properties related to these solitons.