Reduction of the codimension of isometric immersions in space forms (Q1819751)

From MaRDI portal





scientific article; zbMATH DE number 3994469
Language Label Description Also known as
English
Reduction of the codimension of isometric immersions in space forms
scientific article; zbMATH DE number 3994469

    Statements

    Reduction of the codimension of isometric immersions in space forms (English)
    0 references
    0 references
    0 references
    0 references
    1986
    0 references
    This paper generalizes the results of \textit{L. Rodrigues} and \textit{R. Tribuzy} [Math. Z. 185, 321-331 (1984; Zbl 0524.53038)]. It gives global reduction of codimension for compact (or complete) submanifolds with some osculating space of constant dimension in a simply-connected space form.
    0 references
    reduction of codimension
    0 references
    osculating space
    0 references
    0 references

    Identifiers