Pinching the sectional curvature on open manifolds (Q2411206)

From MaRDI portal
scientific article
Language Label Description Also known as
English
Pinching the sectional curvature on open manifolds
scientific article

    Statements

    Pinching the sectional curvature on open manifolds (English)
    0 references
    0 references
    20 October 2017
    0 references
    In this paper, the author proves the following theorem: Theorem. Let \(M\) be an open manifold. Given \(\delta >0\) and \(a\in R\), there exists a Riemannian metric on \(M\) such that all sectional curvatures are in \((a-\delta, a+\delta)\).
    0 references
    open manifold
    0 references
    Gromov's \(h\)-principle
    0 references
    curvature relation
    0 references
    pinching
    0 references
    0 references

    Identifiers