Bi-slant $\xi^{\perp}$-Riemannian submersions

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Hacettepe Journal of Mathematics and Statistics
Volume:51 Issue:1
Bi-slant $\xi^{\perp}$-Riemannian submersions

Bi-slant $\xi^{\perp}$-Riemannian submersions

Pages : 8-19

View : 22 | Download : 12

Publication Date : 2022-02-14

Article Type : Research Paper

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

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