IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-60039-0_5.html
   My bibliography  Save this book chapter

Riemann’s Work on Minimal Surfaces

In: From Riemann to Differential Geometry and Relativity

Author

Listed:
  • Sumio Yamada

    (Gakushuin University, Department of Mathematics)

Abstract

Three months before his death in 1866, Riemann left a set of notes to K. Hattendorff, a disciple of his, on minimal surfaces with boundary. Afterwards, Hattendorff supplied the text to the notes mostly consisting of computations, which became the two papers on the subject: “On the surface of least area with a given boundary” and “Examples of surfaces of least area with a given boundary.” We will go over the expositions and provide an overview from the modern viewpoint, make some comments on Riemann-Hattendorff’s text, and compare the work with that of Weierstrass on the same subject.

Suggested Citation

  • Sumio Yamada, 2017. "Riemann’s Work on Minimal Surfaces," Springer Books, in: Lizhen Ji & Athanase Papadopoulos & Sumio Yamada (ed.), From Riemann to Differential Geometry and Relativity, pages 135-150, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-60039-0_5
    DOI: 10.1007/978-3-319-60039-0_5
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;

    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:spr:sprchp:978-3-319-60039-0_5. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.