Geometria em Lisboa

11 de Abril, 14h00

Finite uniton number and finite type harmonic map
Sala B3-01

Rui Pacheco (Universidade da Beira Interior)

Abstract:

Two separate classes of harmonic maps from a surface into a symmetric space have been distinguished according to the nature of the corresponding extended solutions: harmonic maps of finite type - correspond to extended solutions which can be obtained by integrating a pair of commuting Hamiltonian vector fields - and harmonic maps of finite uniton number - the Fourier series of the corresponding extended solutions have finitely many terms. In this seminar I will present these two classes of harmonic maps and describe the complete classification of all harmonic two-tori in complex projective spaces due to F. Burstall.

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