Vol. 88, No. 2, 1980

Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
The two-dimensional analogue of the catenary

Reinhold Böhme, Stefan Hildebrandt and Engelbert Tausch

Vol. 88 (1980), No. 2, 247–278
Abstract

In this paper we consider the following isoperimetric problem: let Γ be a prescribed Jordan curve in R3. Determine a surface of given area spanning Γ, which has minimal potential energy under gravitational forces. This will be of importance for the construction of “perfect domes.”

Mathematical Subject Classification
Primary: 49F99, 49F99
Milestones
Received: 3 March 1980
Published: 1 June 1980
Authors
Reinhold Böhme
Stefan Hildebrandt
Engelbert Tausch