Commun. Korean Math. Soc.
Published online June 26, 2020
Sumeet Kumar, Sushil Kumar, Shashikant Pandey, and Rajendra Prasad
Lucknow University, Shri Jai Narain Misra Post Graduate college
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 submersion 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 hemi-slant submeresion
MSC numbers : 53C12, 53C22, 53C30, 53C55
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