Characterizations of Ricci–Bourguignon Almost Solitons on Pseudo-Riemannian Manifolds

Patra, Dhriti Sundar and Ali, Akram and Mofarreh, Fatemah (2022) Characterizations of Ricci–Bourguignon Almost Solitons on Pseudo-Riemannian Manifolds. Mediterranean Journal of Mathematics, 19 (4). ISSN 1660-5446

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Abstract

In this paper, we thoroughly study the Ricci–Bourguignon almost soliton and gradient Ricci–Bourguignon almost soliton on paracontact metric manifolds. First we find some sufficient conditions under which a paracontact metric manifolds admitting a Ricci–Bourguignon almost soliton is Einstein (trivial). Next we prove that if a para-Sasakian manifold admits a gradient Ricci–Bourguignon almost soliton, it is Einstein (trivial) with constant scalar curvature - 2 n(2 n+ 1). It is locally isometric to a flat manifold product and a manifold of constant curvature - 4 if it is for (k, μ) -paracontact manifold admits a gradient Ricci–Bourguignon almost soliton. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

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IITH Creators:

IITH Creators	ORCiD
Patra, Dhriti Sundar	https://orcid.org/0000-0002-7958-1690

Item Type:

Article

Additional Information:

The authors thank the referees for their valuable and constructive comments for modifying the presentation of this work. Also, the authors would like to express their gratitude to Prof. Ramesh Sharma and Prof. Amalendu Ghosh for their improving comments the manuscript. The authors would like to express their gratitude to the Deanship of Scientific Research at King Khalid University, Saudi Arabia for providing a funding research group under the research grant R. G. P. 1/50/42. The authors also express their gratitude to Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R27), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

Uncontrolled Keywords:

einstein manifold; harmonic vector field; paracontact metric manifold; ricci tensor; Ricci–Bourguignon almost soliton

Subjects:

Mathematics

Divisions:

Department of Mathematics

Depositing User:

. LibTrainee 2021

Date Deposited:

27 Jul 2022 05:35

Last Modified:

27 Jul 2022 05:35