Acta Mathematica Vietnamica

, Volume 42, Issue 3, pp 491–507 | Cite as

Conformal Semi-Invariant Submersions from Almost Product Riemannian Manifolds

Article

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.

Keywords

Almost product Riemannian manifold Riemannian submersion Semi-invariant submersion Conformal submersion Conformal semi-invariant submersion 

Mathematics Subject Classification (2010)

Primary 53C42 53C43 Secondary 53C15 

Notes

Acknowledgments

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

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Copyright information

© Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2016

Authors and Affiliations

  1. 1.Faculty of Arts and Sciences, Department of MathematicsBingöl UniversityBingölTurkey

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