IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i9p1453-d406183.html
   My bibliography  Save this article

Classifications of Canal Surfaces with the Gauss Maps in Minkowski 3-Space

Author

Listed:
  • Jinhua Qian

    (Department of Mathematics, Northeastern University, Shenyang 110004, China)

  • Xueqian Tian

    (Department of Mathematics, Northeastern University, Shenyang 110004, China)

  • Xueshan Fu

    (Department of Mathematics, Jeju National University, Jeju 63243, Korea)

  • Young Ho Kim

    (Department of Mathematics, Kyungpook National University, Daegu 41566, Korea)

Abstract

In this work, we study the canal surfaces foliated by pseudo spheres S 1 2 along a Frenet curve in terms of their Gauss maps in Minkowski 3-space. Such kind of surfaces with pointwise 1-type Gauss maps are classified completely. For example, the canal surface with proper pointwise 1-type Gauss map of the first kind if and only if it is a part of a minimal surface of revolution.

Suggested Citation

  • Jinhua Qian & Xueqian Tian & Xueshan Fu & Young Ho Kim, 2020. "Classifications of Canal Surfaces with the Gauss Maps in Minkowski 3-Space," Mathematics, MDPI, vol. 8(9), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1453-:d:406183
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/9/1453/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/9/1453/
    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:8:y:2020:i:9:p:1453-:d:406183. 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.