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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-10-01
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| Series: | Axioms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2075-1680/13/11/753 |
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| Summary: | 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. |
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| ISSN: | 2075-1680 |