REAL HYPERBOLIC DOMAINS

Global Solutions

1. the orthogonal projections $H^m\to H^n$, [Baird 1983] 2. the orthogonal projection $H^3\to R^2$, [Baird-Wood 1991] 3. the orthogonal projection $H^m\to R^n$, [Gudmundsson 1992] 4. single valued solution $H^4\to S^2$ holomorphic w.r.t. an almost Hermitian structure, [Ex. 4.3, Baird 1992] 5. rational harmonic morphisms $H^{2m+1}\to C$ with/without totally geodesic fibres, [sec. 6,7, Gudmundsson 1996]

Local Solutions

1. the orthogonal projections $H^m-H^{m-n-1}\to S^n$, [Baird 1983] 2. two-valued solution $H^4\to S^2$ holomorphic w.r.t. an almost Hermitian structure, [Ex. 4.5, Baird 1992] 3. rational harmonic morphisms $H^{m}\to C$ with totally geodesic fibres, [sec. 5, Gudmundsson 1996]
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