MINIMISING PROPERTIES


We have included this section here, since, a fortiori, any energy
minimising harmonic morphism is stable





Manifold without boundary



    

  1. Any harmonic morphisms with an isolated singolarity from a 
simply-connected 3-dimensional space form is a minimum of the energy
in its homotopy class, [Montaldo 1996] 
    

  2. The projection p:(M^{m}\times_{f}N^{2},g+f^{2}h)--->(N^{2},h) from
a warped product is a minimum of the energy in its homotopy class,
[Montaldo 1996] 
    





Manifold with boundary



    

  1. Any harmonic morphisms from a closed domain in \r^3, with connected
fibres, is a minimum of the energy in the set of smooth map with the 
same boundary values, [H\'elein 1989] 
    






List of Publications