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Some Characterizations of Three-Dimensional Trans-Sasakian Manifolds Admitting η-Ricci Solitons and Trans-Sasakian Manifolds as Kagan Subprojective Spaces

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Ukrainian Mathematical Journal Aims and scope

We study three-dimensional trans-Sasakian manifolds admitting η-Ricci solitons. Actually, we investigate manifolds whose Ricci tensor satisfy some special conditions, such as cyclic parallelity, Ricci semisymmetry, and 𝜙-Ricci semisymmetry, after reviewing the properties of the second-order parallel tensors on these manifolds. We determine the form of the Riemann curvature tensor for trans-Sasakian manifolds of dimension greater than three as Kagan subprojective spaces. We also present some classification results for trans-Sasakian manifolds of dimension greater than three as Kagan subprojective spaces.

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Authors and Affiliations

  1. University of Kalyani, Kalyani, West Bengal, India

    A. Sarkar

  2. University of Kalyani, Kalyani, West Bengal, India

    A. Sil

  3. University of Kalyani, Kalyani, West Bengal, India

    A. K. Paul

Authors
  1. A. Sarkar
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  2. A. Sil
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  3. A. K. Paul
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Correspondence to A. Sarkar.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 3, pp. 427–432, March, 2020.

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Sarkar, A., Sil, A. & Paul, A.K. Some Characterizations of Three-Dimensional Trans-Sasakian Manifolds Admitting η-Ricci Solitons and Trans-Sasakian Manifolds as Kagan Subprojective Spaces. Ukr Math J 72, 488–494 (2020). https://doi.org/10.1007/s11253-020-01796-9

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  • DOI: https://doi.org/10.1007/s11253-020-01796-9

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