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Hemi-slant ξ⊥−Riemannian submersions in contact geometry

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Date
2020
Author
Sari, R. and Akyol, M.A.
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Abstract
M. A. Akyol and R. Sarı [On semi-slant ξ⊥-Riemannian submersions, Mediterr. J. Math. 14(6) (2017) 234.] defined semi-slant ξ⊥ −Riemannian submersions from Sasakian manifolds onto Rie-mannian manifolds. As a generalization of the above notion and natural generalization of anti-invariant ξ⊥−Riemannian submersions, semi-invariant ξ⊥ −Riemannian submersions and slant submersions, we study hemi-slant ξ⊥ −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. © 2020, University of Nis. All rights reserved.
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85099960094&doi=10.2298%2fFIL2011747S&partnerID=40&md5=684260a40d8d92317219fd3ea1f3d2d3
http://acikerisim.bingol.edu.tr/handle/20.500.12898/3965
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