Abstract
The boundary of a DoCarmo-Wallach moduli space parametrizing (harmonic) eigenmaps between spheres or spherical minimal immersions carries a natural stratification. In this paper we study the critical points of the distance function on the boundary strata. We show that the critical points provide a natural generalization of eigenmaps with L 2-orthonormal components. We also point out that many classical examples of eigenmaps correspond to critical points.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 305-328 |
| Number of pages | 24 |
| Journal | Beitrage zur Algebra und Geometrie |
| Volume | 45 |
| Issue number | 1 |
| State | Published - 2004 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology