Karen K. Uhlenbeck

activity

19982003

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math.DG2003

1+1 wave maps into symmetric spaces

Chuu-Lian Terng, Karen Uhlenbeck

We explain how to apply techniques from integrable systems to construct $2 k$ -soliton homoclinic wave maps from the periodic Minkowski space $S^{1} \times R^{1}$ to a compact Lie group,…

math.DG1999

Schrodinger flows on Grassmannians

Chuu-Lian Terng, Karen Uhlenbeck

The geometric non-linear Schrodinger equation (GNLS) on the complex Grassmannian manifold M is the Hamiltonian equation for the energy functional on C(R,M) with respect to the symp…

math.DG1998

Bäcklund Transformations and Loop Group Actions

Chuu-Lian Terng, Karen Uhlenbeck

We construct a local action of the group of rational maps from $S^{2}$ to $G L (n, C)$ on local solutions of flows of the ZS-AKNS $s l (n, C)$ -hierarchy. We show that the actions of simple…