Öz
Kaynakça
- [1] J.E. Andersen, Geometric quantization of symplectic manifolds with respect to reducible non-negative polarization, Commun. Math. Phys., 183, 401–421, 1997.
Öz
The aim of the present article is to analyze $\star$-Ricci-Yamabe solitons on almost coK\"{a}hler manifolds and to characterize them when the potential vector field is pointwise collinear with the Reeb vector field. It is proved that a compact almost coK\"{a}hler manifold admitting $\star$-Ricci-Yamabe soliton under certain restriction on $\star$-scalar curvature is coK\"{a}hler and $\star$-Ricci flat; in addition, that the soliton is steady. $(\kappa, \mu)$-almost coK\"{a}hler manifolds admitting such solitons are also considered and finally, the obtained results are supported by non-trivial examples.
Anahtar Kelimeler
Almost coK\"{a}hler manifold $(\kappa \mu)$-nullity distribution $\star$-Ricci curvature Ricci soliton Yamabe soliton
Kaynakça
- [1] J.E. Andersen, Geometric quantization of symplectic manifolds with respect to reducible non-negative polarization, Commun. Math. Phys., 183, 401–421, 1997.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Cebirsel ve Diferansiyel Geometri |
| Bölüm | Matematik |
| Yazarlar | |
| Erken Görünüm Tarihi | 27 Ocak 2025 |
| Yayımlanma Tarihi | |
| Yayımlandığı Sayı | Yıl 2025 Erken Görünüm |