호남수학학술지 (Honam Mathematical Journal)

  • 제45권2호
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  • Pages.248-268
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  • 2023
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  • 1225-293X(pISSN)
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  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
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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)
  • 투고 : 2022.09.03
  • 심사 : 2022.12.25
  • 발행 : 2023.06.01
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초록

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.

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과제정보

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

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