The Euclidean factor of a Hadamard manifold
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- by Toshiaki Adachi and Fumiko Ohtsuka PDF
- Proc. Amer. Math. Soc. 113 (1991), 209-212 Request permission
Abstract:
The ideal boundary $X(\infty )$ of a Hadamard manifold $X$ is the set of asymptotic classes of rays on $X$. We shall characterize the Euclidean factor of $X$ by information on $X(\infty )$. Under the assumption that the diameter of $X(\infty )$ is $\pi$, we call a boundary point that has a unique point of Tits distance $\pi$ 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.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 209-212
- MSC: Primary 53C20; Secondary 53C23
- DOI: https://doi.org/10.1090/S0002-9939-1991-1074746-3
- MathSciNet review: 1074746