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Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

WoS  JIF 2026 : 0.5 (Q3)

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Research Article

η-Ricci-Bourguignon soliton on the hyperbolic spaces

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pp. 43–54Vol. 24Issue 1May 2026DOI: 10.47974/JDSGT-2025-09003XML
Received:
01 Sep 2025
Published Online:
02 Jul 2026
Article type:
Research Article
Language:
EN
Article no.:
JDSGT-2025-09003
Pages:
43–54

Abstract

We investigate η-Ricci-Bourguignon solitons on hyperbolic spaces Hn, with a focus on the Poincaré half-plane H2. Building upon recent advances on classical Ricci-Bourguignon solitons in this geometric setting, we establish necessary and sufficient conditions for the existence of such structures and analyze the properties of the underlying potential vector fields. The results obtained on H2 are subsequently extended to higher-dimensional hyperbolic spaces. 

Keywords

Subject Classifications

53C2053C21

References

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