CLASSIFICATIONS OF PARTICULAR CLASSES
 


Global
1. Harmonic morphisms $R^p \times R^q\to R^n$ which are orthogonal
   multiplications,
   [Th. 7.2.7: Baird 1983]

2. Harmonic morphisms $R^m\to N^n (N\geq 3)$ with totally geodesic fibres,
   [Prop. 2.8: Kasue-Washio 1990]

3. Harmonic morphisms $S^m\to S^n$ whose component functions are all 
   harmonic homogeneous polynomials of the same degree k,
   [Th. 1: Eells-Yiu 1995]

4. Quadratic harmonic morphisms $R^m\to R^n$,
   [Th. 2.4: Ou-Wood 1996]

5. Harmonic morphisms $R^{p_1}\times\dots\times R^{p_k}\to R^n$ which are 
   multilinear norm-preserving, 
   [Th. 2.8: Baird-Ou 1996]

6. The only non-constant harmonic morphisms which are non-singular multi-
   linear maps $R^{p_1}\times\dots\times R^{p_k}\to R^n$ are for $n=1,2,4,8$
   and $p_1=\dots =p_k =n$, 
   [Th. 1: Tang 1996]


Local
1. Harmonic morphisms, with an isolated singularity, from open subsets 
   of 3-dimensional simply connected space forms to surfaces.
   [Th. 4.8: Baird-Wood 1991]

2. Horizontally homothetic harmonic morphism from $U\subset R^m$ to $R^n$
   with totally geodesic fibres.
   [Th. 2.9: Gudmundsson 1990]

3. Horizontally homothetic harmonic morphisms with totally geodesic fibres 
   and integrable horizontal distribution between open subsets of simply 
   connected space forms,
   [Th. 3.5: Gudmundsson 1992; Cor. 2.7: Gudmundsson 1990]

4. Local horizontally homothetic maps of codimension 1 between simply 
   connected space forms, 
   [Th. 3.6: Gudmundsson 1992; Cor. 2.7: Gudmundsson 1990]

5. Holomorphic harmonic morphisms from $U\subset C^m$ to $C^n$,
   [Gudmundsson-Sigurdsson 1993]



List of Publications