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)|
|Number of pages||24|
|Journal||Beitrage zur Algebra und Geometrie|
|State||Published - 2004|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology