GENERAL STABILITY



Manifold without boundary



Any stable harmonic map to the 2-dimensional sphere is a harmonic
morphisms, [Chen 1993]

Any harmonic morphism to a manifol with non-positive Ricci curvature 
is stable, [Montaldo 1996]

Any horizontally homothetic harmonic morphism to an unstable manifold
is unstable, [Montaldo 1996]

Any harmonic morphism to a surface with volume-stable minimal 
fibres is enrgy-stable, [Montaldo 1996]

Any submersive harmonic morphism with totally geodesic fibres to a 
surface from a manifold with non positive curvature is stable, 
[Montaldo 1996]

If (N,h) is a stable manifold, then the projection 
$p:(M\times N,g+h)--->(N,h)$
is a stable harmonic morphism, [Montaldo 1996]




Manifold with boundary


Any harmonic morphisms from a manifold with boundary to a complete 
Riemann surface with a Hermitian metric h, whose Gauss curvature is 
bounded from above, is stable with respet to some metric $h'\in[h]$,
[Montaldo 1996] 




List of Publications