SPHERICAL DOMAINS

Global Solutions

1. the Hopf maps $S^3\to S^2$, $S^7\to S^4$ and $S^{15}\to S^8$ [Ex. 5.4, Baird-Eells 1981] 2. the Hopf fibration $S^{2n+1}\to CP^n$, [Wood 1986] 3. the Hopf fibration $S^{4n+3}\to HP^n$ [Gudmundsson 1995]

Local Solutions

1. orthogonal projections $S^m-S^{m-n-1}\to S^n$, [Baird 1983] 2. implicitly defined $S^m\to C$ with totally geodesic fibres, [Ex. 4.4, Gudmundsson 1994] 3. implicitly defined $S^{2m+1}\to C$ with non-totally geodesic fibres, [Ex. 4.5, Gudmundsson 1994] 4. implicitly defined $S^5\to C$, $S^7\to C$, [Ex. 4.6, 4.7 Baird-Wood 1996] 5. Solutions $S^5\to C$, $S^6\to C$, $S^7\to C$ to certain Weierstrass -type equations, [Exs. 4.7, 4.9, 4.10: Baird-Wood (Weierstrass..)]
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