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Conformal Semi-Invariant Submersions from Almost Product Riemannian Manifolds

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Abstract

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.

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Acknowledgments

The author is grateful to the referee for his/her valuable comments and suggestions.

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Authors and Affiliations

  1. Faculty of Arts and Sciences, Department of Mathematics, Bingöl University, 12000, Bingöl, Turkey

    Mehmet Akif Akyol

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  1. Mehmet Akif Akyol
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Correspondence to Mehmet Akif Akyol.

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Akyol, M.A. Conformal Semi-Invariant Submersions from Almost Product Riemannian Manifolds. Acta Math Vietnam 42, 491–507 (2017). https://doi.org/10.1007/s40306-016-0193-9

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