Non-divergence harmonic maps
Fatma Muazzez Şimşir · 2010
We describe work on solutions of certain non-divergence type and therefore non-variational elliptic and parabolic systems on manifolds.These systems include Hermitian and affine harmonics which should become useful tools for studying Hermitian and affine manifolds, resp.A key point is that in addition to the standard condition of nonpositive image curvature that is well known and understood in the theory of ordinary harmonic maps (which arise from a variational problem), here we also need in addition a global topological condition to guarantee the existence of solutions.