Harmonic morphisms and conformal foliations by geodesics of three-dimensional space forms
Harmonic morphisms and conformal foliations by geodesics of three-dimensional space forms
Abstract A complete classification is given of harmonic morphisms to a surface and conformal foliations by geodesics, with or without isolated singularities, of a simply-connected space form. The method is to associate to any such a holomorphic map from a Riemann surface into the space of geodesics of the space …