Global nonautonomous Schrödinger flows on Hermitian locally symmetric spaces (Q2503779)

We consider the global existence of a one-dimensional nonautonomous (inhomogeneous) Schrö\-dinger flow. By exploiting geometric symmetries, we prove that, given a smooth initial map, the Cauchy problem of the nonautonomous (inhomogeneous) Schrödinger flow from \(S^1\) into a Hermitian locally symmetric space admits a unique global smooth solution, and then we address the global existence of the Cauchy problem of inhomogeneous Heisenberg spin ferromagnet system.