Polynomial maps from spheres to spheres

DOI10.1007/BF01425547zbMath0204.23805MaRDI QIDQ2541612

R. M. W. Wood

Publication date: 1968

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/141912

Related Items (39)

On approximation of maps into real algebraic homogeneous spaces ⋮ Quadratic forms between Euclidean spheres ⋮ Constructions of harmonic polynomial maps between spheres ⋮ Two results on entire solutions of Ginzburg-Landau system in higher dimensions ⋮ Piecewise-regular maps ⋮ NEW CONSTRUCTIONS OF EIGENMAPS BETWEEN SPHERES ⋮ Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives ⋮ Even maps from spheres to spheres ⋮ Total bending of vector fields on the sphere \(S^ 3\) ⋮ Framed cobordisms in real algebraic geometry ⋮ Biharmonic homogeneous polynomial maps between spheres ⋮ The energy density of biharmonic quadratic maps between spheres ⋮ Approximation by piecewise-regular maps ⋮ An infinite family of homogeneous polynomial self-maps of spheres ⋮ Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form ⋮ Algebraic maps from spheres to spheres ⋮ Classification of quadratic harmonic maps of \(S^7\) into \(S^7\) ⋮ Existence of real eigenvalues of real tensors ⋮ Brouwer degree of polynomial maps ⋮ A generalization of Cartan’s theorem on isoparametric cubics ⋮ Dilatation phenomena in the homotopy groups of spheres ⋮ The automorphism group of an affine quadric ⋮ Degree 2 Polynomial Maps from Spheres to the Two Sphere Over Any Field ⋮ Non-singular bilinear maps and stable homotopy classes of spheres ⋮ Polynomial Harmonic Morphisms between Euclidean Spheres ⋮ Quadratic mappings of spheres ⋮ On finite action solutions of the nonlinear sigma-model ⋮ Quaternionic bundles on algebraic spheres ⋮ Spherical unirational homotopy groups ⋮ Quadratic forms between spheres and the non-existence of sums of squares formulae ⋮ Rational maps in real algebraic geometry ⋮ ALGEBRAICπ₂(S²) ⋮ Removing isolated zeroes by homotopy ⋮ On infinitesimal and local rigidity of harmonic maps between spheres defined by spherical harmonics ⋮ Construction of smooth sphere maps with given degree and a generalization of Morse index formula for smooth vector fields ⋮ A family of quadratic forms associated to quadratic mappings of spheres ⋮ Some new results on composition of quadratic forms ⋮ Polynomial maps and even dimensional spheres ⋮ Some new examples of eigenmaps from \(S^ m\) into \(S^ n\)

Cites Work

• Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
• Multiplikative quadratische Formen
• Quadratic maps and stable homotopy groups of spheres
• On the representation of rational functions as sums of squares
• Über die Abbildungen von Sphären auf Sphäre niedrigerer Dimension
• A generalization of the Hopf invariant

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