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

Year 2022, Volume: 51 Issue: 1, 8 - 19, 14.02.2022

Sezin Aykurt Sepet

https://doi.org/10.15672/hujms.882603

Cited By: 3

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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