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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 K\"{a}hler 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.
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참고문헌 (32)
참고문헌 신청
M. A. Akyol / 2017 / Conformal semi-slant submersions / Int. J. Geom. Methods Mod. Phys 14(7):1750114~1750138
M. A. Akyol / 2017 / Conformal anti-invariant submersions from cosymplectic manifolds / Hacet. J. Math. Stat 46(2):177~192
M. A. Akyol / 2016 / Conformal anti-invariant submersions from almost Hermitian manifolds / Turkish J. Math 40(1):43~70
M. A. Akyol / 2017 / Conformal semi-invariant submersions / Commun. Contemp. Math 19(2):1650011~1650032
M. A. Akyol / 2019 / Conformal slant submersions / Hacet. J. Math. Stat 48(1):28~44
M. A. Akyol / 2017 / Conformal anti-invariant submersions from cosymplectic manifolds / Hacet. J. Math. Stat 46(2):177~192
M. A. Akyol / 2016 / Conformal anti-invariant submersions from almost Hermitian manifolds / Turkish J. Math 40(1):43~70
M. A. Akyol / 2017 / Conformal semi-invariant submersions / Commun. Contemp. Math 19(2):1650011~1650032
M. A. Akyol / 2019 / Conformal slant submersions / Hacet. J. Math. Stat 48(1):28~44
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