Non-unique solutions to the Plateau problem on symmetric spaces (Q1177326)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Non-unique solutions to the Plateau problem on symmetric spaces |
scientific article; zbMATH DE number 20254
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-unique solutions to the Plateau problem on symmetric spaces |
scientific article; zbMATH DE number 20254 |
Statements
Non-unique solutions to the Plateau problem on symmetric spaces (English)
0 references
26 June 1992
0 references
The main result of the paper is as follows. Let \(B\) be the codimension- two boundary surface on the symmetric space \(G/K\in \{ SU(3)\), \(SU(3)/SO(3)\), \(SU(6)/Sp(3)\), \(E_ 6/F_ 4\}\) obtained as the principal orbit of the centroid of a Weyl chamber . Then there are exactly three volume-minimizing codimension-one surfaces in \(G/K\) having \(B\) as boundary. The proof uses only elementary techniques in the calculus of variations.
0 references
Plateau problem
0 references
codimension-two boundary surface
0 references
symmetric space
0 references
Weyl chamber
0 references
calculus of variations
0 references
