Twistor fibrations giving primitive harmonic maps of finite type | Zendy

Rui Pacheco | Zendy

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Twistor fibrations giving primitive harmonic maps of finite type

Author(s) -

Rui Pacheco

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.3199

Subject(s) - mathematics , linear subspace , pure mathematics , type (biology) , riemann surface , hamiltonian (control theory) , homogeneous , harmonic map , vector space , riemann sphere , mathematical analysis , combinatorics , ecology , mathematical optimization , biology

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

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