Twistor fibrations giving primitive harmonic maps of finite type

Rui Pacheco

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-14

Abstract:

Primitive harmonic maps of finite type from a Riemann surface M into a k -symmetric space G / H are obtained by integrating a pair of commuting Hamiltonian vector fields on certain finite-dimensional subspaces of loop algebras. We will clarify and generalize Ohnita and Udagawa's results concerning homogeneous projections p : G / H → G / K , with H ⊂ K , preserving finite-type property for primitive harmonic maps.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:260850

DOI: 10.1155/IJMMS.2005.3199

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