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η -∗-Ricci Solitons and Almost co-Kähler Manifolds

Author

Listed:
  • Arpan Sardar

    (Department of Mathematics, University of Kalyani, Kalyani 741235, India)

  • Mohammad Nazrul Islam Khan

    (Department of Computer Engineering, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia)

  • Uday Chand De

    (Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata 700019, India)

Abstract

The subject of the present paper is the investigation of a new type of solitons, called η -∗-Ricci solitons in ( k , μ ) -almost co-Kähler manifold (briefly, a c k m ), which generalizes the notion of the η -Ricci soliton introduced by Cho and Kimura. First, the expression of the ∗-Ricci tensor on a c k m is obtained. Additionally, we classify the η -∗-Ricci solitons in ( k , μ ) - a c k m s. Next, we investigate ( k , μ ) - a c k m s admitting gradient η -∗-Ricci solitons. Finally, we construct two examples to illustrate our results.

Suggested Citation

  • Arpan Sardar & Mohammad Nazrul Islam Khan & Uday Chand De, 2021. "η -∗-Ricci Solitons and Almost co-Kähler Manifolds," Mathematics, MDPI, vol. 9(24), pages 1-11, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3200-:d:700151
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