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Ricci–Bourguignon solitons on real hypersurfaces in the complex hyperbolic space

Department of Mathematics and RIRCM, Kyungpook National University, Daegu 41566, Republic of Korea

https://doi.org/10.1142/S0129167X23500374Cited by:2 (Source: Crossref)

Abstract

In this paper, we give a complete classification of Ricci–Bourguignon soliton on real hypersurfaces in the complex hyperbolic space $ℂ H^{n} = S U_{1}, n / S (U_{1} U_{n})$ . Next, as an application, we give a complete classification of gradient Ricci–Bourguignon soliton on Hopf real hypersurfaces in the complex hyperbolic space $ℂ H^{n}$ .

Communicated by Xiaonan Ma

Keywords:

AMSC: Primary: 53C40, Secondary: 53C55

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