A Conformal <i>η</i>-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold
This paper focuses on some geometrical and physical properties of a conformal <i>η</i>-Ricci soliton (C<i>η</i>-RS) on a four-dimension Lorentzian Para-Sasakian (LP-S) manifold. The first section presents an introduction to C<i>η</i>-RS on LP-S manifolds, followed...
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2024-10-01
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| author | Yanlin Li Arup Kumar Mallick Arindam Bhattacharyya Mića S. Stanković |
| author_facet | Yanlin Li Arup Kumar Mallick Arindam Bhattacharyya Mića S. Stanković |
| author_sort | Yanlin Li |
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| description | This paper focuses on some geometrical and physical properties of a conformal <i>η</i>-Ricci soliton (C<i>η</i>-RS) on a four-dimension Lorentzian Para-Sasakian (LP-S) manifold. The first section presents an introduction to C<i>η</i>-RS on LP-S manifolds, followed by a discussion of preliminary ideas about the LP-Sasakian manifold. In the subsequent sections, we establish several results pertaining to four-dimension LP-S manifolds that exhibit C<i>η</i>-RS. Additionally, we consider certain conditions associated with C<i>η</i>-RS on four-dimension LP-S manifolds. Besides these geometrical points of view, we consider this soliton in a perfect fluid spacetime and obtain some interesting physical properties. Finally, we present a case study of a C<i>η</i>-RS on a four-dimension LP-S manifold. |
| format | Article |
| id | doaj-art-5f813f5e838d4ab1909615bb2d1d05f8 |
| institution | OA Journals |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-5f813f5e838d4ab1909615bb2d1d05f82025-08-20T02:26:45ZengMDPI AGAxioms2075-16802024-10-01131175310.3390/axioms13110753A Conformal <i>η</i>-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian ManifoldYanlin Li0Arup Kumar Mallick1Arindam Bhattacharyya2Mića S. Stanković3School of Mathematics, Hangzhou Normal University, Hangzhou 311121, ChinaDepartment of Mathematics, Jadavpur University, Kolkata 700032, IndiaDepartment of Mathematics, Jadavpur University, Kolkata 700032, IndiaFaculty of Sciences and Mathematics, University of Nis, Visegradska, 33, 1800 Nis, SerbiaThis paper focuses on some geometrical and physical properties of a conformal <i>η</i>-Ricci soliton (C<i>η</i>-RS) on a four-dimension Lorentzian Para-Sasakian (LP-S) manifold. The first section presents an introduction to C<i>η</i>-RS on LP-S manifolds, followed by a discussion of preliminary ideas about the LP-Sasakian manifold. In the subsequent sections, we establish several results pertaining to four-dimension LP-S manifolds that exhibit C<i>η</i>-RS. Additionally, we consider certain conditions associated with C<i>η</i>-RS on four-dimension LP-S manifolds. Besides these geometrical points of view, we consider this soliton in a perfect fluid spacetime and obtain some interesting physical properties. Finally, we present a case study of a C<i>η</i>-RS on a four-dimension LP-S manifold.https://www.mdpi.com/2075-1680/13/11/753LP-S manifoldconformal <i>η</i>-Ricci solitonRicci flowperfect fluid spacetime |
| spellingShingle | Yanlin Li Arup Kumar Mallick Arindam Bhattacharyya Mića S. Stanković A Conformal <i>η</i>-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold Axioms LP-S manifold conformal <i>η</i>-Ricci soliton Ricci flow perfect fluid spacetime |
| title | A Conformal <i>η</i>-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold |
| title_full | A Conformal <i>η</i>-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold |
| title_fullStr | A Conformal <i>η</i>-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold |
| title_full_unstemmed | A Conformal <i>η</i>-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold |
| title_short | A Conformal <i>η</i>-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold |
| title_sort | conformal i η i ricci soliton on a four dimensional lorentzian para sasakian manifold |
| topic | LP-S manifold conformal <i>η</i>-Ricci soliton Ricci flow perfect fluid spacetime |
| url | https://www.mdpi.com/2075-1680/13/11/753 |
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