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- Title
Explicit construction of harmonic two-spheres into the complex Grassmannian.
- Authors
Ferreira, Maria; Simões, Bruno
- Abstract
We present an explicit description of all harmonic maps of finite uniton number from a Riemann surface into a complex Grassmannian. Namely, starting from a constant map Q and a collection of meromorphic functions and their derivatives, we show how to algebraically construct all harmonic maps from the two-sphere into a given Grassmannian $${G_p(\mathbb C^n)}$$ . In this setting the uniton number depends on Q and p and we obtain a sharp estimate for it.
- Subjects
GRASSMANN manifolds; HARMONIC maps; DIFFERENTIAL topology; MANIFOLDS (Mathematics); MATHEMATICAL mappings
- Publication
Mathematische Zeitschrift, 2012, Vol 272, Issue 1/2, p151
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-011-0927-2