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http://dx.doi.org/10.4134/CKMS.c190448

CONFORMAL HEMI-SLANT SUBMERSIONS FROM ALMOST HERMITIAN MANIFOLDS  

Kumar, Sumeet (Department of Mathematics and Astronomy University of Lucknow)
Kumar, Sushil (Department of Mathematics Shri Jai Narain Post Graduate college)
Pandey, Shashikant (Department of Mathematics and Astronomy University of Lucknow)
Prasad, Rajendra (Department of Mathematics and Astronomy University of Lucknow)
Publication Information
Communications of the Korean Mathematical Society / v.35, no.3, 2020 , pp. 999-1018 More about this Journal
Abstract
In this paper, our main objective is to introduce the notion of conformal hemi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalized case of conformal anti-invariant submersions, conformal semi-invariant submersions and conformal slant submersions. We mainly focus on conformal hemi-slant submersions from Kähler manifolds. During this manner, we tend to study and investigate integrability of the distributions which are arisen from the definition of the submersions and the geometry of leaves of such distributions. Moreover, we tend to get necessary and sufficient conditions for these submersions to be totally geodesic for such manifolds. We also provide some quality examples of conformal hemi-slant submersions.
Keywords
Hermitian manifolds; hemi-slant submersion; conformal hemislant submersion;
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Times Cited By KSCI : 3  (Citation Analysis)
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