AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (213.1 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

η-Ricci-Bourguignon solitons with a semi-symmetric metric and semi-symmetric non-metric connection

Air Training Command, Konak, İzmir, Turkey
Show Author Information

Abstract

We consider a generalization of a Ricci soliton as η-Ricci-Bourguignon solitons on a Riemannian manifold endowed with a semi-symmetric metric and semi-symmetric non-metric connection. We find some properties of η-Ricci-Bourguignon soliton on Riemannian manifolds equipped with a semi-symmetric metric and semi-symmetric non-metric connection when the potential vector field is torse-forming with respect to a semi-symmetric metric and semi-symmetric non-metric connection.

Keywords

η-Ricci-Bourguignon solitonsemi-symmetric metric connectionsemi-symmetric non-metric connectiontorse-forming vector fieldquasi-Einstein manifoldhyper-generalized quasi-Einstein manifold
CLC number: 35Q51, 53C07, 53C25

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 5,
May 2023
Pages 11943-11952
DOI: 10.3934/math.2023603

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Dogru Y. η-Ricci-Bourguignon solitons with a semi-symmetric metric and semi-symmetric non-metric connection. AIMS Mathematics, 2023, 8(5): 11943-11952. https://doi.org/10.3934/math.2023603

87

Views

1

Downloads

11

Crossref

15

Web of Science

12

Scopus
Received: 23 January 2023
Revised: 10 March 2023
Accepted: 16 March 2023
Published: 15 May 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)