Harmonic morphisms between degenerate semi-Riemannian manifolds

الأصل · EN

In this paper we generalize harmonic maps and morphisms to the degenerate semi-Riemannian category, in the case when the manifolds M and N are stationary and the map ϕ:M→ N is radical-preserving. We characterize geometrically the notion of (generalized) horizontal (weak) conformality and we obtain a characterization for (generalized) harmonic morphisms in terms of (generalized) harmonic maps.