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- Publisher
- Springer Journals
- Copyright
- Copyright © 2009 by Springer-Verlag
- Subject
- Mathematics; Mathematics, general
- ISSN
- 0025-5874
- eISSN
- 1432-1823
- DOI
- 10.1007/s00209-008-0472-9
- Publisher site
- See Article on Publisher Site
Abstract
A construction due to Sym and Bobenko recovers constant mean curvature surfaces in euclidean 3-space from their harmonic Gauss maps. We generalize this construction to higher dimensions and codimensions replacing the surface by a complex manifold and the sphere (the target space of the Gauss map) by a Kähler symmetric space of compact type with its standard embedding into the Lie algebra $${\mathfrak{g}}$$ of its transvection group. Thus we obtain a new class of immersed Kähler submanifolds of $${\mathfrak{g}}$$ and we derive their properties.
Journal
Mathematische Zeitschrift – Springer Journals
Published: Jan 15, 2009