Makale detayı · 2019
On generic submanifold of Sasakian manifold with concurrent vector field
Dergi
Communications Faculty Of Science University of Ankara Series A1Mathematics and StatisticsISSN 1303-5991
YÖKSİS
OpenAlex
Açık erişim · diamond
TR Index
Atıf 13
Yüzdelik 87.3%
FWCI 2.24
- Yıl
- 2019
- Tür
- article
Veri kaynağı ayrımı
- YÖKSİS YÖKSİS makale kaydı
- YÖKSİS dergi adı Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
- OpenAlex OpenAlex zenginleştirmesi (özet, atıf, konular)
Özet
İngilizce (OpenAlex)
In the present paper, we deal with the generic submanifold admitting a Ricci soliton in Sasakian manifold endowed with concurrent vector field. Here, we find that there exists never any concurrent vector field on the invariant distribution D of generic submanifold M. Also, we provide a necessary and sufficient condition for which the invariant distribution D and anti-invariant distribution D^{⊥} of M are Einstein. Finally, we give a characterization for a generic submanifold of Sasakian manifold to be a gradient Ricci soliton.
Konular
- Geometric Analysis and Curvature Flows
- Geometry and complex manifolds
- Advanced Differential Geometry Research
Birincil konu Geometric Analysis and Curvature Flows