Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

Finite Groups and Invariant Solutions to One-Dimensional Plateau Problems

David Bindschadler
Proceedings of the American Mathematical Society
Vol. 80, No. 4 (Dec., 1980), pp. 621-626
DOI: 10.2307/2043435
Stable URL: http://www.jstor.org/stable/2043435
Page Count: 6
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Finite Groups and Invariant Solutions to One-Dimensional Plateau Problems
Preview not available

Abstract

Let $G$ be a finite group of isometries acting on a complete Riemannian manifold. Suppose that $B$ is a 0-dimensional boundary which is $G$-invariant. If the order of $G$ divides the product of the cardinality of the orbit and the density of $B$ at each point, then a $G$-invariant absolutely length minimizing integral current with boundary $B$ can be constructed.

Page Thumbnails

  • Thumbnail: Page 
621
    621
  • Thumbnail: Page 
622
    622
  • Thumbnail: Page 
623
    623
  • Thumbnail: Page 
624
    624
  • Thumbnail: Page 
625
    625
  • Thumbnail: Page 
626
    626