Stability of the composition 


of two harmonic morphisms f:(M^m,g)--->(N^n,h) and g:(N^n,h)--->(P^p,k).





    

  1. The composition of a horizontally homothetic harmonic morphism f
with an unstable harmonic morphism g is unstable, [Montaldo 1996]
    

  2. The composition of an unstable harmonic morphism f with a Riemannian
submersion g with integrable orizontal space is unstable if
the pair (f,g) satisfies a certain Condition (A), [Montaldo 1996]





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