Integrable systems in differential geometry

Recently some non linear partial differential equations
arising in physics and in geometry, has been recognized as
examples of integrable systems (like the famous KdV equation).
An example is the harmonic map problem from a two-dimensional
domain to a symmetric Riemannian manifold. Since this discovery
quick progresses have been made on this subject, by exploiting
the miraculous structure of integrable systems. In the same
time many other examples of integrable systems in geometry
has been identified.



Frédéric Hélein