IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/319046.html
   My bibliography  Save this article

Mannheim Curves in Nonflat 3-Dimensional Space Forms

Author

Listed:
  • Wenjing Zhao
  • Donghe Pei
  • Xinyu Cao

Abstract

We consider the Mannheim curves in nonflat 3-dimensional space forms (Riemannian or Lorentzian) and we give the concept of Mannheim curves. In addition, we investigate the properties of nonnull Mannheim curves and their partner curves. We come to the conclusion that a necessary and sufficient condition is that a linear relationship with constant coefficients will exist between the curvature and the torsion of the given original curves. In the case of null curve, we reveal that there are no null Mannheim curves in the 3-dimensional de Sitter space.

Suggested Citation

  • Wenjing Zhao & Donghe Pei & Xinyu Cao, 2015. "Mannheim Curves in Nonflat 3-Dimensional Space Forms," Advances in Mathematical Physics, Hindawi, vol. 2015, pages 1-9, April.
    • Handle: RePEc:hin:jnlamp:319046
    DOI: 10.1155/2015/319046
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2015/319046.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2015/319046.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/319046?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jie Huang & Donghe Pei, 2020. "Singular Special Curves in 3-Space Forms," Mathematics, MDPI, vol. 8(5), pages 1-8, May.

    More about this item

    Statistics

    Access and download statistics

    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:hin:jnlamp:319046. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.