The Euclidean factor of a Hadamard manifold

Autor:	Fumiko Ohtsuka, Toshiaki Adachi
Rok vydání:	1991
Předmět:	Pure mathematics Applied Mathematics General Mathematics Hadamard three-lines theorem Mathematical analysis Boundary (topology) Point (geometry) Hadamard manifold Euclidean distance matrix Isometry (Riemannian geometry) Hadamard matrix Mathematics Hadamard's inequality
Zdroj:	Proceedings of the American Mathematical Society. 113:209-212
ISSN:	1088-6826 0002-9939
DOI:	10.1090/s0002-9939-1991-1074746-3
Popis:	The ideal boundary X ( ∞ ) X(\infty ) of a Hadamard manifold X X is the set of asymptotic classes of rays on X X . We shall characterize the Euclidean factor of X X by information on X ( ∞ ) X(\infty ) . Under the assumption that the diameter of X ( ∞ ) X(\infty ) is π \pi , we call a boundary point that has a unique point of Tits distance π \pi a polar point. We shall show that such points form a standard sphere and compose the boundary of the Euclidean factor of the given Hadamard manifold.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dd037636331df18af524407b4f1b13ee https://doi.org/10.1090/s0002-9939-1991-1074746-3 Zobrazit plný text záznamu