Browsing by Subject "Harmonic maps--Mathematical models"
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Item The higher flows of harmonic maps(2007-05) Gagliardo, Michael Sebastian, 1976-; Uhlenbeck, KarenThis thesis relates the AKNS-hierarchy of flows, called positive flows, to the hierarchy of flows that include the harmonic map equation, called negative flows. I show that these two hierarchies are actually part of one large hierarchy of commuting flows. This is done by looking at the loop group of two circles into a Lie group and determining the projections in a algebra splitting. The projections are then applied to the action of the Virasoro algebra.