Complex-analyticity of harmonic maps
It is known that any holomorphic map between Kähler manifolds is a harmonic map. However, the converse holds only under some geometric conditions. In this paper, the author studies the converse problem of harmonic maps and proves the following main result: If a proper harmonic map, which has sufficiently high regularity up to the ideal boundary, between complex hyperbolic spaces is a nondegenerate CR-map at the boundary, then it must be a holomorphic map.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00035].
scientific article; zbMATH DE number 1665590