Morse theory and infinite families of harmonic maps between spheres (Q5940486)
From MaRDI portal
scientific article; zbMATH DE number 1631878
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Morse theory and infinite families of harmonic maps between spheres |
scientific article; zbMATH DE number 1631878 |
Statements
Morse theory and infinite families of harmonic maps between spheres (English)
0 references
9 August 2001
0 references
The authors apply Morse theory to prove the existence of infinite sequences of harmonic maps between spheres. They also study certain index and convergence properties of these sequences. The key features responsible for the existence and properties of such sequences are the presence of a reflection symmetry and the existence of a singular harmonic map of infinite index which is invariant under this symmetry.
0 references
Morse theory
0 references
harmonic maps
0 references
index
0 references
convergence
0 references
reflection symmetry
0 references
