Polynomial Harmonic Morphisms between Euclidean Spheres

DOI10.2307/2160597zbMath0853.58036OpenAlexW4245689612MaRDI QIDQ4874124

James jun. Eells, Paul Y. H. Yiu

Publication date: 5 January 1997

Full work available at URL: https://doi.org/10.2307/2160597

zbMATH Keywords

harmonic morphismsHopf fibrationsorthogonal multiplicationpolynomial maps between spheres

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Harmonic maps, etc. (58E20)

Related Items (5)

Quadratic harmonic morphisms and \(O\)-systems ⋮ Bernstein theorem for harmonic morphisms from \((N+1)\)-sphere to \(N\)-manifold ⋮ Contact structures and Beltrami fields on the torus and the sphere ⋮ Restrictions on harmonic morphisms ⋮ Harmonic polynomial morphisms between Euclidean spaces

Cites Work

• Bernstein theorems for harmonic morphisms from \({\mathbb R}\) 3 and S 3
• Harmonic morphisms and circle actions on 3- and 4-manifolds
• A mapping of Riemannian manifolds which preserves harmonic functions
• Harmonic morphisms between Riemannian manifolds
• Polynomial maps from spheres to spheres
• A characterization of the Hopf map by stretch
• An invariant for certain smooth manifolds
• Harmonic Maps and Minimal Immersions with Symmetries (AM-130)
• Another Report on Harmonic Maps
• Conservation Laws, Equivariant Harmonic Maps and Harmonic Morphisms
• A Report on Harmonic Maps
• Quadratic forms between spheres and the non-existence of sums of squares formulae
• Higher Torsion in H-Spaces
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