M. A. Akyol and R. Sar? [On semi-slant ??-Riemannian submersions, Mediterr.
J. Math. 14(6) (2017) 234.] defined semi-slant ??-Riemannian submersions
from Sasakian manifolds onto Riemannian manifolds. As a generalization of
the above notion and natural generalization of anti-invariant ??-Riemannian
submersions, semi-invariant ??-Riemannian submersions and slant
submersions, we study hemi-slant ??-Riemannian submersions from Sasakian
manifolds onto Riemannian manifolds. We obtain the geometry of foliations,
give some examples and find necessary and sufficient condition for the base
manifold to be a locally product manifold. Moreover, we obtain some
curvature relations from Sasakian space forms between the total space, the
base space and the fibres.
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