On manifolds having some restricted ideal boundaries (Q757859)

From MaRDI portal





scientific article; zbMATH DE number 4194625
Language Label Description Also known as
English
On manifolds having some restricted ideal boundaries
scientific article; zbMATH DE number 4194625

    Statements

    On manifolds having some restricted ideal boundaries (English)
    0 references
    0 references
    1991
    0 references
    The author treats some interesting properties of a Hadamard manifold X by the aid of the ideal boundary X(\(\infty)\) associated to it. For example, a characterization of a Hadamard manifold X having a l-dimensional Euclidean factor through the Tits metric on X(\(\infty)\) is established. The author also shows that a projective map between two product Hadamard manifolds is an isometry iff the induced map between the ideal boundary is an isometry.
    0 references
    Hadamard manifold
    0 references
    ideal boundary
    0 references
    Tits metric
    0 references
    projective map
    0 references
    0 references

    Identifiers