Conformal Semi-Invariant Submersions from Almost Product Riemannian Manifolds
As a generalization of semi-invariant submersions, we introduce conformal semi-invariant submersions from almost product Riemannian manifolds onto Riemannian manifolds. We give examples, and investigate the geometry of foliations which arise 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 find necessary and sufficient conditions for a conformal semi-invariant submersion to be totally geodesic.
KeywordsAlmost product Riemannian manifold Riemannian submersion Semi-invariant submersion Conformal submersion Conformal semi-invariant submersion
Mathematics Subject Classification (2010)Primary 53C42 53C43 Secondary 53C15
The author is grateful to the referee for his/her valuable comments and suggestions.
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