- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 68 Issue: 2
- On generic submanifold of Sasakian manifold with concurrent vector field
On generic submanifold of Sasakian manifold with concurrent vector field
Authors : Halil Ibrahim Yoldaş, Şemsi Eken Meriç, Erol Yaşar
Pages : 1983-1994
Doi:10.31801/cfsuasmas.445788
View : 10 | Download : 5
Publication Date : 2019-08-01
Article Type : Research
Abstract :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.Keywords : Sasakian manifold, Ricci soliton, concurrent vector field