Pointwise hemi-slant Riemannian submersions

Mehmet Akif Akyol; Cem Sayar

doi:10.3842/umzh.v75i10.7257

Mehmet Akif Akyol Department of Mathematics, Faculty of Arts and Sciences, Bingöl University, Turkey
Cem Sayar Department of Mathematics, Faculty of Science and Letters, Istanbul Technical University, Turkey and Department of Mathematics and Statistics, Florida International University, Miami, FL, USA

DOI: https://doi.org/10.3842/umzh.v75i10.7257

Keywords: Riemannian submersions, Kaehlerian manifold, hemi-slant submersion, pointwise hemi-slant submersion, vertical distribution

Abstract

UDC 517.98

We introduce a new type of submersions, which is called pointwise hemi-slant Riemannian submersions, as a generalization of slant Riemannian submersions, hemi-slant submersions, and pointwise slant submersions from Kaehler manifolds onto Riemannian manifolds. We obtain some geometric interpretations of this kind of submersions with respect to the total manifold, the base manifold, and the fibers. Moreover, we present non-trivial illustrative examples in order to demonstrate the existence of submersions of this kind. Finally, we obtain some curvature equalities and inequalities with respect to a certain basis.

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