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Conformal slant submersions
2019
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
Abstract:

As a generalization of conformal holomorphic submersions and conformal anti-invariant submersions, we introduce a new  conformal  submersion from almost Hermitian manifolds onto Riemannian manifolds, namely conformal slant submersions. We give examples and find necessary and sufficient conditions for such maps to be harmonic morphism. We also  investigate the geometry of foliations which are arisen from the definition of a conformal submersion and obtain a decomposition theorem on the total space of a conformal slant submersion. Moreover, we  find necessary and sufficient conditions of a conformal slant submersion to be totally geodesic.

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2019
Journal:  
Hacettepe Journal of Mathematics and Statistics
Author:  
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Hacettepe Journal of Mathematics and Statistics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 1.771
Cite : 681
2023 Impact : 0.004
Details
Hacettepe Journal of Mathematics and Statistics