On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres. II (Q1094688)

From MaRDI portal





scientific article; zbMATH DE number 4026292
Language Label Description Also known as
English
On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres. II
scientific article; zbMATH DE number 4026292

    Statements

    On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres. II (English)
    0 references
    0 references
    0 references
    1987
    0 references
    In the first part of this paper [the authors together with \textit{I. Sterling}, Invent. Math. 82, 447-460 (1985; Zbl 0578.53042)] the authors showed the existence of (infinitely many) minimal immersions of the exotic Kervaire spheres \(\Sigma_ 0^{4n+3}\) for \(k\leq 100\). Here they extend the result to arbitrary k, and give a computer-free proof.
    0 references
    isoparametric families
    0 references
    minimal immersions
    0 references
    Kervaire spheres
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references