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On Quasi-bi-slant Submersions

  • Rajendra PrasadEmail author
  • S. S. Shukla
  • Sushil Kumar
Article
  • 123 Downloads

Abstract

As a generalization of hemi-slant submersions and semi-slant submersions, we introduce the notion of quasi-bi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds giving some examples and study such submersions from Kähler manifolds onto Riemannian manifolds. We study the geometry of leaves of distributions which are involved in the definition of the submersion. We also obtain conditions for such submersions to be integrable and totally geodesic. Moreover, we give a characterization theorem for proper quasi-bi-slant submersions with totally umbilical fibers.

Keywords

Riemannian submersions semi-invariant submersions quasi-bi-slant submersions 

Mathematics Subject Classification

00A11 53C15 53C43 53B20 55B55 

Notes

Acknowledgements

The authors are thankful to the referees for their valuable suggestions.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics and AstronomyUniversity of LucknowLucknowIndia
  2. 2.Department of MathematicsUniversity of AllahabadAllahabadIndia
  3. 3.Shri Jai Narain Post Graduate CollegeLucknowIndia

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