Schrödinger flow for maps into Kähler manifolds
Schrödinger flow for maps into Kähler manifolds
In this paper, we show that there exists a global Schrodinger flow for a map from the unit circle S 1 into a Kahler manifold with constant holomorphic sectional curvature.Moreover, the Schrodinger flow obeys a conservative law.We also discuss the Schrodinger flow from a compact Riemann surface into a compact …