IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i21p3355-d1506959.html
   My bibliography  Save this article

Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds

Author

Listed:
  • Stefan Ivanov

    (Faculty of Mathematics and Informatics, University of Sofia, Blvd. James Bourchier 5, 1164 Sofia, Bulgaria
    Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1000 Sofia, Bulgaria)

  • Ivan Minchev

    (Faculty of Mathematics and Informatics, University of Sofia, Blvd. James Bourchier 5, 1164 Sofia, Bulgaria)

  • Marina Tchomakova

    (Faculty of Mathematics and Informatics, University of Sofia, Blvd. James Bourchier 5, 1164 Sofia, Bulgaria)

Abstract

We consider certain fiber bundles over paraquaternionic contact manifolds, called twistor and reflector spaces. We show that the twistor space carries an integrable CR structure (Cauchy–Riemann structure) and the reflector space is an integrable para-CR structure, both with neutral signatures.

Suggested Citation

  • Stefan Ivanov & Ivan Minchev & Marina Tchomakova, 2024. "Twistor and Reflector Spaces for Paraquaternionic Contact Manifolds," Mathematics, MDPI, vol. 12(21), pages 1-21, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:21:p:3355-:d:1506959
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/21/3355/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/21/3355/
    Download Restriction: no
    ---><---

    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:12:y:2024:i:21:p:3355-:d:1506959. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.