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On quasi bi-slant submersions from Sasakian manifolds onto Riemannian manifolds

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In this paper, we study the quasi bi-slant submersions from Sasakian manifolds onto Riemannian manifolds. We define quasi bi-slant submersions from almost contact metric manifolds onto Riemannian manifolds which are generalization of hemi-slant submersions and semi-slant submersions with some examples. We also discuss the geometry of leaves of distributions which are involved in the definition of this submersion and obtain coditions for such submersions to be integrable and totally geodesic. Further, we give a characterization theorem for proper quasi bi-slant submersions with totally umbilical fibres.

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Authors and Affiliations

  1. Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India

    Rajendra Prasad & Punit Kumar Singh

  2. Department of Mathematics, Shri Jai Narain Post Graduate College, Lucknow, India

    Sushil Kumar

Authors
  1. Rajendra Prasad
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  2. Punit Kumar Singh
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  3. Sushil Kumar
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Correspondence to Punit Kumar Singh.

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Prasad, R., Singh, P.K. & Kumar, S. On quasi bi-slant submersions from Sasakian manifolds onto Riemannian manifolds. Afr. Mat. 32, 403–417 (2021). https://doi.org/10.1007/s13370-020-00833-x

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