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On the Filling Invariants at Infinity of Hadamard Manifolds |
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| Authors: | Mohamad?A.?Hindawi mailto:mhindawi@math.upenn.edu" title=" mhindawi@math.upenn.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Department of Mathematics, University of Pennsylvania, Philadelphia, PA, 19104-6395, U.S.A |
| Abstract: | We study the filling invariants at infinity div k for Hadamard manifolds defined by Brady and Farb [ Trans. Am. Math. Soc. 350(8) (1998), 3393–3405]. Among other results, we give a positive answer to the question they posed: whether these invariants can be used to detect the rank of a symmetric space of noncompact type. |
| Keywords: | Nonpositive curvature quasi-isometry invariants fillings invariants symmetric spaces Tits geometry |
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