- Hacettepe Journal of Mathematics and Statistics
- Vol: 51 Issue: 1
- Bi-slant $\xi^{\perp}$-Riemannian submersions
Bi-slant $\xi^{\perp}$-Riemannian submersions
Authors : Sezin Aykurt Sepet
Pages : 8-19
Doi:10.15672/hujms.882603
View : 16 | Download : 9
Publication Date : 2022-02-14
Article Type : Research
Abstract :We introduce bi-slant $\xi^{\perp}$-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of slant and semi-slant $\xi^{\perp}$-Riemannian submersion and present some examples. We give the necessary and sufficient conditions for the integration of the distributions used to define the bi-slant $\xi^{\perp}$-Riemannian submersions and examine the geometry of foliations. After we obtain necessary and sufficient conditions related to totally geodesicness of such submersion. Finally we give some decomposition theorems for total manifold.Keywords : Riemannian submersion, Sasakian manifold, Bi-slant $xi^{perp}$- Riemannian submersion