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CONFORMAL HEMI-SLANT SUBMERSION FROM KENMOTSU MANIFOLD

  • Mohammad Shuaib (Department of Mathematics, Aligarh Muslim University) ;
  • Tanveer Fatima (Department of Mathematics and Statistics, College of Sciences, Taibah University)
  • Received : 2022.09.03
  • Accepted : 2022.12.25
  • Published : 2023.06.01
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Abstract

As a generalization of conformal semi-invariant submersion, conformal slant submersion and conformal semi-slant submersion, in this paper we study conformal hemi-slant submersion from Kenmotsu manifold onto a Riemannian manifold. The necessary and sufficient conditions for the integrability and totally geodesicness of distributions are discussed. Moreover, we have obtained sufficient condition for a conformal hemi-slant submersion to be a homothetic map. The condition for a total manifold of the submersion to be twisted product is studied, followed by other decomposition theorems.

Keywords

Acknowledgement

The authors are thankful to the referee for his/her valuable suggestions and careful reading of the manuscript.

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