대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권1호
  • /
  • Pages.205-221
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  • 2023
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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CONFORMAL HEMI-SLANT SUBMERSIONS FROM COSYMPLECTIC MANIFOLDS

  • Vinay Kumar (Department of Mathematics and Astronomy University of Lucknow) ;
  • Rajendra Prasad (Department of Mathematics and Astronomy University of Lucknow) ;
  • Sandeep Kumar Verma (Department of Mathematics and Astronomy University of Lucknow)
  • 투고 : 2021.12.26
  • 심사 : 2022.05.25
  • 발행 : 2023.01.31
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초록

The main goal of the paper is the introduction of the notion of conformal hemi-slant submersions from almost contact metric manifolds onto Riemannian manifolds. It is a generalization of conformal anti-invariant submersions, conformal semi-invariant submersions and conformal slant submersions. Our main focus is conformal hemi-slant submersion from cosymplectic manifolds. We tend also study the integrability of the distributions involved in the definition of the submersions and the geometry of their leaves. Moreover, we get necessary and sufficient conditions for these submersions to be totally geodesic, and provide some representative examples of conformal hemi-slant submersions.

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참고문헌

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