$\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection
The objective of this paper is to investigate the $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain curvature conditions. We study the Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying ce...
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2025-07-01
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| Series: | Ratio Mathematica |
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| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1632 |
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| _version_ | 1849720226034221056 |
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| author | Abhishek Singh Sangeeta Gautam Lalit Kumar |
| author_facet | Abhishek Singh Sangeeta Gautam Lalit Kumar |
| author_sort | Abhishek Singh |
| collection | DOAJ |
| description | The objective of this paper is to investigate the $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain curvature conditions. We study the Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain conditions. Finally, we have given an example of 3-dimensional $\eta$-Ricci solitons in a LP-Sasakian manifolds with respect to quarter-symmetric metric connection. |
| format | Article |
| id | doaj-art-ee5af4a68c104afb8bab9ffe28979c0a |
| institution | DOAJ |
| issn | 1592-7415 2282-8214 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj-art-ee5af4a68c104afb8bab9ffe28979c0a2025-08-20T03:11:58ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142025-07-0154010.23755/rm.v54i0.1632963$\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connectionAbhishek Singh0Sangeeta Gautam1Lalit Kumar2Dr. Ram Manohar Lohia Avadh UniversityDr. Ram Manohar Lohia Avadh UniversityDr. Ram Manohar Lohia Avadh UniversityThe objective of this paper is to investigate the $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain curvature conditions. We study the Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain conditions. Finally, we have given an example of 3-dimensional $\eta$-Ricci solitons in a LP-Sasakian manifolds with respect to quarter-symmetric metric connection.http://eiris.it/ojs/index.php/ratiomathematica/article/view/1632lp-sasakian manifolds, quarter-symmetric metric connection, $\eta$-ricci solitons, second order parallel tensor, $\eta$-einstein manifold. |
| spellingShingle | Abhishek Singh Sangeeta Gautam Lalit Kumar $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection Ratio Mathematica lp-sasakian manifolds, quarter-symmetric metric connection, $\eta$-ricci solitons, second order parallel tensor, $\eta$-einstein manifold. |
| title | $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection |
| title_full | $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection |
| title_fullStr | $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection |
| title_full_unstemmed | $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection |
| title_short | $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection |
| title_sort | eta ricci solitons in a lp sasakian manifolds admitting quarter symmetric metric connection |
| topic | lp-sasakian manifolds, quarter-symmetric metric connection, $\eta$-ricci solitons, second order parallel tensor, $\eta$-einstein manifold. |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/1632 |
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