An inequality for harmonic maps of compact Kähler manifolds that implies holomorphicity
An inequality for harmonic maps of compact Kähler manifolds that implies holomorphicity
For harmonic maps of equidimensional compact Kähler manifolds satisfying certain conditions, a Chern class inequality is stated. If the map satisfies this inequality, it is holomorphic. The main result may be compared with a theorem of Eells and Wood for compact Riemann surfaces.