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Conformal Hemi-Slant Riemannian Maps

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In this study, we define conformal hemi-slant Riemannian maps from an almost Hermitian manifold to a Riemannian manifold as a generalization of conformal anti-invariant Riemannian maps, conformal semi-invariant Riemannian maps and conformal slant Riemannian maps. Then, we obtain integrability conditions for certain distributions which are included in the notion of hemi-slant Riemannian maps and investigate their leaves. Also, we get totally geodesic conditions for this type maps. Lastly, we introduce some geometric properties under the notion of pluri-harmonic map.
Fundamentals of Contemporary Mathematical Sciences
Title: Conformal Hemi-Slant Riemannian Maps
Description:
In this study, we define conformal hemi-slant Riemannian maps from an almost Hermitian manifold to a Riemannian manifold as a generalization of conformal anti-invariant Riemannian maps, conformal semi-invariant Riemannian maps and conformal slant Riemannian maps.
Then, we obtain integrability conditions for certain distributions which are included in the notion of hemi-slant Riemannian maps and investigate their leaves.
Also, we get totally geodesic conditions for this type maps.
Lastly, we introduce some geometric properties under the notion of pluri-harmonic map.

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