Stability, complex-analyticity and constancy of pluriharmonic maps from compact Kaehler manifolds (Q909306)

A smooth map f from a complex manifold M to a Riemannian manifold N is called pluriharmonic if, for each holomorphic curve i: \(C\to M\), \(f\circ i\) is always harmonic. In this paper we investigate holomorphicity and constancy of pluriharmonic maps and stable harmonic maps from compact Kähler manifolds into Hermitian symmetric spaces of compact type and positively curved Riemannian manifolds. Moreover, we give the construction of \(non\pm holomorphic\), pluriharmonic maps into complex Grassmann manifolds by means of the idea of twistor construction due to Eells and Wood.