$\ast$-$η$-Ricci solitons and Einstein metrics on a weak $β$-Kenmotsu manifold
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912443653947392 |
|---|---|
| author | Rovenski, Vladimir |
| author_facet | Rovenski, Vladimir |
| contents | Weak almost contact metric manifolds (i.e., the complex structure is replaced by a nonsingular skew-symmetric tensor), defined by the author and R. Wolak, allow a new look at the classical theory and find novel applications. An important case of these manifolds, which is locally a twisted product, is a weak $β$-Kenmotsu manifold defined by the author and D.S. Patra. In the paper, the concept of the $\ast$-Ricci tensor is adapted to weak almost contact manifolds, the interaction of the $\ast$-$η$-Ricci soliton with the weak $β$-Kenmotsu structure (with $β=const$) is studied and new characteristics of Einstein metrics are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_18031 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\ast$-$η$-Ricci solitons and Einstein metrics on a weak $β$-Kenmotsu manifold Rovenski, Vladimir Differential Geometry Weak almost contact metric manifolds (i.e., the complex structure is replaced by a nonsingular skew-symmetric tensor), defined by the author and R. Wolak, allow a new look at the classical theory and find novel applications. An important case of these manifolds, which is locally a twisted product, is a weak $β$-Kenmotsu manifold defined by the author and D.S. Patra. In the paper, the concept of the $\ast$-Ricci tensor is adapted to weak almost contact manifolds, the interaction of the $\ast$-$η$-Ricci soliton with the weak $β$-Kenmotsu structure (with $β=const$) is studied and new characteristics of Einstein metrics are obtained. |
| title | $\ast$-$η$-Ricci solitons and Einstein metrics on a weak $β$-Kenmotsu manifold |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.18031 |