IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i9p2209-d1141607.html
   My bibliography  Save this article

Quarter-Symmetric Metric Connection on a Cosymplectic Manifold

Author

Listed:
  • Miroslav D. Maksimović

    (Department of Mathematics, Faculty of Sciences and Mathematics, University of Priština in Kosovska Mitrovica, 38220 Kosovska Mitrovica, Serbia
    These authors contributed equally to this work.)

  • Milan Lj. Zlatanović

    (Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš, 18000 Niš, Serbia
    These authors contributed equally to this work.)

Abstract

We study the quarter-symmetric metric A -connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to the quarter-symmetric metric A -connection, we construct the Weyl projective curvature tensor on a cosymplectic manifold. In this way, we obtain new conditions for the manifold to be projectively flat. At the end of the paper, we define η -Einstein cosymplectic manifolds of the θ -th kind and prove that they coincide with the η -Einstein cosymplectic manifold.

Suggested Citation

  • Miroslav D. Maksimović & Milan Lj. Zlatanović, 2023. "Quarter-Symmetric Metric Connection on a Cosymplectic Manifold," Mathematics, MDPI, vol. 11(9), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2209-:d:1141607
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/9/2209/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/9/2209/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Diego Conti & Marisa Fernández, 2016. "Einstein almost cokähler manifolds," Mathematische Nachrichten, Wiley Blackwell, vol. 289(11-12), pages 1396-1407, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:9:p:2209-:d:1141607. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.