IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v347y2019icp429-441.html
   My bibliography  Save this article

Dynamics on S3 and the Hopf fibration

Author

Listed:
  • Ateş, Osman
  • Munteanu, Marian Ioan
  • Nistor, Ana Irina

Abstract

In the present paper we investigate the dynamics of the S3−component of a J−trajectory in R×S3. We obtain several geometric properties for the projection curve on S2(12) via the Hopf map and we generate some examples with Mathematica. We also prove that the curves in S3 are geodesics on the Hopf tubes over the projection curve on the 2−sphere if and only if they are Legendre curves.

Suggested Citation

  • Ateş, Osman & Munteanu, Marian Ioan & Nistor, Ana Irina, 2019. "Dynamics on S3 and the Hopf fibration," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 429-441.
    • Handle: RePEc:eee:apmaco:v:347:y:2019:i:c:p:429-441
    DOI: 10.1016/j.amc.2018.11.027
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300318310014
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2018.11.027?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    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:eee:apmaco:v:347:y:2019:i:c:p:429-441. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.