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Conformal semi-invariant submersions

As a generalization of semi-invariant submersions, we introduce conformal semi-invariant submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations which are arisen from the definition of a conformal submersion and show that there are certain product structures on the total space of a conformal semi-invariant submersion. Moreover, we also check the harmonicity of such submersions and find necessary and sufficient conditions of a conformal semi-invariant submersion to be totally geodesic.

preprint2015arXivOpen access
Mehmet Akif AkyolBayram Şahin
math.DG
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Mehmet Akif AkyolBayram Şahin

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