An intrinsic characterization of developable surfaces (Q1895221)

From MaRDI portal





scientific article; zbMATH DE number 785200
Language Label Description Also known as
English
An intrinsic characterization of developable surfaces
scientific article; zbMATH DE number 785200

    Statements

    An intrinsic characterization of developable surfaces (English)
    0 references
    0 references
    15 August 1995
    0 references
    The present paper deals with characterizations of the three types of developable surfaces (without planar points) in affine 3-space, using the induced connection. It is shown that certain torsion-free connections on 2-dimensional Riemannian manifolds can be realized on surfaces of type number one (i.e. the rank of the second fundamental form is one).
    0 references
    affine connections
    0 references
    developable surfaces
    0 references

    Identifiers