On manifolds having some restricted ideal boundaries
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.
scientific article; zbMATH DE number 4194625