The higher flows of harmonic maps
by Gagliardo, Michael Sebastian, Ph.D., THE UNIVERSITY OF TEXAS AT AUSTIN, 2007, 63 pages; 3271375

Abstract:

This 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.

 
AdviserKaren Uhlenbeck
SchoolTHE UNIVERSITY OF TEXAS AT AUSTIN
SourceDAI/B 68-06, p. , Oct 2007
Source TypeDissertation
SubjectsMathematics
Publication Number3271375
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