A new cohomological formula for helicity in \(\mathbb R^{2k+1}\) reveals the effect of a diffeomorphism on helicity (Q983912)

From MaRDI portal
scientific article
Language Label Description Also known as
English
A new cohomological formula for helicity in \(\mathbb R^{2k+1}\) reveals the effect of a diffeomorphism on helicity
scientific article

    Statements

    A new cohomological formula for helicity in \(\mathbb R^{2k+1}\) reveals the effect of a diffeomorphism on helicity (English)
    0 references
    0 references
    0 references
    13 July 2010
    0 references
    A new form for the higher-dimensional helicity integral is proposed. The \(2\)-points configuration space is used in this formula. By this formula transformations of the helicity by means of orientation preserved diffeomorphisms, which is not isotopical to the identity, of a submanifold in \(\mathbb R^{2n+1}\) is investigated.
    0 references
    helicity of vector fields
    0 references
    configuration spaces
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references

    Identifiers