IDEAS home Printed from https://ideas.repec.org/a/ibn/jmrjnl/v16y2024i2p97.html
   My bibliography  Save this article

Complete Contraction of Tensor and Its Application

Author

Listed:
  • Jinxiong Xing
  • Yifan Gong

Abstract

This article presents a mathematical model for tensor complete contraction utilizing permutation group theory. The model helps in identifying the index class that dictates the complete contraction of even-order tensors. Additionally, the concept of a complete contraction closed loop is introduced along with a method for calculating the number of completely contracted images of any even-order tensor under any λ type permutation. The model is applied to investigate the algebraic structure of global conformal invariants on three-dimensional hypersurfaces. Moreover, it is shown that the generalized Willmore functional is the sole global conformal invariant in three-dimensional hypersurfaces when the difference is a constant multiple.

Suggested Citation

  • Jinxiong Xing & Yifan Gong, 2024. "Complete Contraction of Tensor and Its Application," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 16(2), pages 1-97, December.
    • Handle: RePEc:ibn:jmrjnl:v:16:y:2024:i:2:p:97
    as

    Download full text from publisher

    File URL: https://ccsenet.org/journal/index.php/jmr/article/download/0/0/50146/54267
    Download Restriction: no
    File URL: https://ccsenet.org/journal/index.php/jmr/article/view/0/50146
    Download Restriction: no
    ---><---

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    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:ibn:jmrjnl:v:16:y:2024:i:2:p:97. 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.